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Finding the Third Proportional to 24,871.57 and 53,681.91

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Solution

The third proportional to 24,871.57 and 53,681.91 is: 115,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.57 : 53,681.91 = 53,681.91 : x
  2. Step 2: Convert to fraction form
    24,871.57/53,681.91 = 53,681.91/x
  3. Step 3: Cross multiply
    24,871.57x = 53,681.91 × 53,681.91
  4. Step 4: Simplify right side
    24,871.57x = 2,881,747,058.63
  5. Step 5: Solve for x
    x = 2,881,747,058.63/24,871.57
  6. Step 6: Final answer
    x = 115,865.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.