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Finding the Third Proportional to 15,716 and 24,078

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Solution

The third proportional to 15,716 and 24,078 is: 36,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 24,078 = 24,078 : x
  2. Step 2: Convert to fraction form
    15,716/24,078 = 24,078/x
  3. Step 3: Cross multiply
    15,716x = 24,078 × 24,078
  4. Step 4: Simplify right side
    15,716x = 579,750,084
  5. Step 5: Solve for x
    x = 579,750,084/15,716
  6. Step 6: Final answer
    x = 36,889.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.