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Finding the Third Proportional to 25,010 and 38,714

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Solution

The third proportional to 25,010 and 38,714 is: 59,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,010 : 38,714 = 38,714 : x
  2. Step 2: Convert to fraction form
    25,010/38,714 = 38,714/x
  3. Step 3: Cross multiply
    25,010x = 38,714 × 38,714
  4. Step 4: Simplify right side
    25,010x = 1,498,773,796
  5. Step 5: Solve for x
    x = 1,498,773,796/25,010
  6. Step 6: Final answer
    x = 59,926.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.