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Finding the Third Proportional to 15,937 and 24,155

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Solution

The third proportional to 15,937 and 24,155 is: 36,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937 : 24,155 = 24,155 : x
  2. Step 2: Convert to fraction form
    15,937/24,155 = 24,155/x
  3. Step 3: Cross multiply
    15,937x = 24,155 × 24,155
  4. Step 4: Simplify right side
    15,937x = 583,464,025
  5. Step 5: Solve for x
    x = 583,464,025/15,937
  6. Step 6: Final answer
    x = 36,610.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.