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Finding the Third Proportional to 24,642.19 and 38,605.31

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Solution

The third proportional to 24,642.19 and 38,605.31 is: 60,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.19 : 38,605.31 = 38,605.31 : x
  2. Step 2: Convert to fraction form
    24,642.19/38,605.31 = 38,605.31/x
  3. Step 3: Cross multiply
    24,642.19x = 38,605.31 × 38,605.31
  4. Step 4: Simplify right side
    24,642.19x = 1,490,370,153.22
  5. Step 5: Solve for x
    x = 1,490,370,153.22/24,642.19
  6. Step 6: Final answer
    x = 60,480.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.