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Finding the Third Proportional to 22,371.19 and 31,483.69

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Solution

The third proportional to 22,371.19 and 31,483.69 is: 44,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,371.19 : 31,483.69 = 31,483.69 : x
  2. Step 2: Convert to fraction form
    22,371.19/31,483.69 = 31,483.69/x
  3. Step 3: Cross multiply
    22,371.19x = 31,483.69 × 31,483.69
  4. Step 4: Simplify right side
    22,371.19x = 991,222,578.60
  5. Step 5: Solve for x
    x = 991,222,578.60/22,371.19
  6. Step 6: Final answer
    x = 44,308.00

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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.