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Finding the Third Proportional to 25,712 and 59,740

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Solution

The third proportional to 25,712 and 59,740 is: 138,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712 : 59,740 = 59,740 : x
  2. Step 2: Convert to fraction form
    25,712/59,740 = 59,740/x
  3. Step 3: Cross multiply
    25,712x = 59,740 × 59,740
  4. Step 4: Simplify right side
    25,712x = 3,568,867,600
  5. Step 5: Solve for x
    x = 3,568,867,600/25,712
  6. Step 6: Final answer
    x = 138,801.63

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Why These Related Problems?

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