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Finding the Third Proportional to 10,240.17 and 23,743.76

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Solution

The third proportional to 10,240.17 and 23,743.76 is: 55,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.17 : 23,743.76 = 23,743.76 : x
  2. Step 2: Convert to fraction form
    10,240.17/23,743.76 = 23,743.76/x
  3. Step 3: Cross multiply
    10,240.17x = 23,743.76 × 23,743.76
  4. Step 4: Simplify right side
    10,240.17x = 563,766,035.06
  5. Step 5: Solve for x
    x = 563,766,035.06/10,240.17
  6. Step 6: Final answer
    x = 55,054.35

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.