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Finding the Third Proportional to 15,728 and 24,416

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Solution

The third proportional to 15,728 and 24,416 is: 37,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728 : 24,416 = 24,416 : x
  2. Step 2: Convert to fraction form
    15,728/24,416 = 24,416/x
  3. Step 3: Cross multiply
    15,728x = 24,416 × 24,416
  4. Step 4: Simplify right side
    15,728x = 596,141,056
  5. Step 5: Solve for x
    x = 596,141,056/15,728
  6. Step 6: Final answer
    x = 37,903.17

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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.