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Finding the Third Proportional to 15,897 and 19,281

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Solution

The third proportional to 15,897 and 19,281 is: 23,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897 : 19,281 = 19,281 : x
  2. Step 2: Convert to fraction form
    15,897/19,281 = 19,281/x
  3. Step 3: Cross multiply
    15,897x = 19,281 × 19,281
  4. Step 4: Simplify right side
    15,897x = 371,756,961
  5. Step 5: Solve for x
    x = 371,756,961/15,897
  6. Step 6: Final answer
    x = 23,385.35

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.