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Finding the Third Proportional to 14,382 and 15,516

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Solution

The third proportional to 14,382 and 15,516 is: 16,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 15,516 = 15,516 : x
  2. Step 2: Convert to fraction form
    14,382/15,516 = 15,516/x
  3. Step 3: Cross multiply
    14,382x = 15,516 × 15,516
  4. Step 4: Simplify right side
    14,382x = 240,746,256
  5. Step 5: Solve for x
    x = 240,746,256/14,382
  6. Step 6: Final answer
    x = 16,739.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.