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Finding the Third Proportional to 15,567 and 24,143

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Solution

The third proportional to 15,567 and 24,143 is: 37,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567 : 24,143 = 24,143 : x
  2. Step 2: Convert to fraction form
    15,567/24,143 = 24,143/x
  3. Step 3: Cross multiply
    15,567x = 24,143 × 24,143
  4. Step 4: Simplify right side
    15,567x = 582,884,449
  5. Step 5: Solve for x
    x = 582,884,449/15,567
  6. Step 6: Final answer
    x = 37,443.60

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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.