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Finding the Third Proportional to 25,031 and 59,297

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Solution

The third proportional to 25,031 and 59,297 is: 140,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,031 : 59,297 = 59,297 : x
  2. Step 2: Convert to fraction form
    25,031/59,297 = 59,297/x
  3. Step 3: Cross multiply
    25,031x = 59,297 × 59,297
  4. Step 4: Simplify right side
    25,031x = 3,516,134,209
  5. Step 5: Solve for x
    x = 3,516,134,209/25,031
  6. Step 6: Final answer
    x = 140,471.18

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.