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Finding the Third Proportional to 7,156 and 15,656

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Solution

The third proportional to 7,156 and 15,656 is: 34,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156 : 15,656 = 15,656 : x
  2. Step 2: Convert to fraction form
    7,156/15,656 = 15,656/x
  3. Step 3: Cross multiply
    7,156x = 15,656 × 15,656
  4. Step 4: Simplify right side
    7,156x = 245,110,336
  5. Step 5: Solve for x
    x = 245,110,336/7,156
  6. Step 6: Final answer
    x = 34,252.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.