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Finding the Third Proportional to 22,663.19 and 31,858.41

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Solution

The third proportional to 22,663.19 and 31,858.41 is: 44,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.19 : 31,858.41 = 31,858.41 : x
  2. Step 2: Convert to fraction form
    22,663.19/31,858.41 = 31,858.41/x
  3. Step 3: Cross multiply
    22,663.19x = 31,858.41 × 31,858.41
  4. Step 4: Simplify right side
    22,663.19x = 1,014,958,048.79
  5. Step 5: Solve for x
    x = 1,014,958,048.79/22,663.19
  6. Step 6: Final answer
    x = 44,784.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.