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Finding the Third Proportional to 15,734 and 24,405

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Solution

The third proportional to 15,734 and 24,405 is: 37,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734 : 24,405 = 24,405 : x
  2. Step 2: Convert to fraction form
    15,734/24,405 = 24,405/x
  3. Step 3: Cross multiply
    15,734x = 24,405 × 24,405
  4. Step 4: Simplify right side
    15,734x = 595,604,025
  5. Step 5: Solve for x
    x = 595,604,025/15,734
  6. Step 6: Final answer
    x = 37,854.58

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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.