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Finding the Third Proportional to 15,897 and 25,146

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Solution

The third proportional to 15,897 and 25,146 is: 39,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897 : 25,146 = 25,146 : x
  2. Step 2: Convert to fraction form
    15,897/25,146 = 25,146/x
  3. Step 3: Cross multiply
    15,897x = 25,146 × 25,146
  4. Step 4: Simplify right side
    15,897x = 632,321,316
  5. Step 5: Solve for x
    x = 632,321,316/15,897
  6. Step 6: Final answer
    x = 39,776.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.