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Finding the Third Proportional to 24,801.19 and 58,535.16

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Solution

The third proportional to 24,801.19 and 58,535.16 is: 138,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.19 : 58,535.16 = 58,535.16 : x
  2. Step 2: Convert to fraction form
    24,801.19/58,535.16 = 58,535.16/x
  3. Step 3: Cross multiply
    24,801.19x = 58,535.16 × 58,535.16
  4. Step 4: Simplify right side
    24,801.19x = 3,426,364,517.21
  5. Step 5: Solve for x
    x = 3,426,364,517.21/24,801.19
  6. Step 6: Final answer
    x = 138,153.24

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.