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Finding the Third Proportional to 15,342 and 24,038

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Solution

The third proportional to 15,342 and 24,038 is: 37,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342 : 24,038 = 24,038 : x
  2. Step 2: Convert to fraction form
    15,342/24,038 = 24,038/x
  3. Step 3: Cross multiply
    15,342x = 24,038 × 24,038
  4. Step 4: Simplify right side
    15,342x = 577,825,444
  5. Step 5: Solve for x
    x = 577,825,444/15,342
  6. Step 6: Final answer
    x = 37,662.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.