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Finding the Third Proportional to 25,487 and 59,966.50

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Solution

The third proportional to 25,487 and 59,966.50 is: 141,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487 : 59,966.50 = 59,966.50 : x
  2. Step 2: Convert to fraction form
    25,487/59,966.50 = 59,966.50/x
  3. Step 3: Cross multiply
    25,487x = 59,966.50 × 59,966.50
  4. Step 4: Simplify right side
    25,487x = 3,595,981,122.25
  5. Step 5: Solve for x
    x = 3,595,981,122.25/25,487
  6. Step 6: Final answer
    x = 141,090.80

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.