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Finding the Third Proportional to 7,856 and 16,352

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Solution

The third proportional to 7,856 and 16,352 is: 34,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 16,352 = 16,352 : x
  2. Step 2: Convert to fraction form
    7,856/16,352 = 16,352/x
  3. Step 3: Cross multiply
    7,856x = 16,352 × 16,352
  4. Step 4: Simplify right side
    7,856x = 267,387,904
  5. Step 5: Solve for x
    x = 267,387,904/7,856
  6. Step 6: Final answer
    x = 34,036.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.