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Finding the Third Proportional to 15,347 and 23,699

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Solution

The third proportional to 15,347 and 23,699 is: 36,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,347 : 23,699 = 23,699 : x
  2. Step 2: Convert to fraction form
    15,347/23,699 = 23,699/x
  3. Step 3: Cross multiply
    15,347x = 23,699 × 23,699
  4. Step 4: Simplify right side
    15,347x = 561,642,601
  5. Step 5: Solve for x
    x = 561,642,601/15,347
  6. Step 6: Final answer
    x = 36,596.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.