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Finding the Third Proportional to 8,506 and 9,514

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Solution

The third proportional to 8,506 and 9,514 is: 10,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 9,514 = 9,514 : x
  2. Step 2: Convert to fraction form
    8,506/9,514 = 9,514/x
  3. Step 3: Cross multiply
    8,506x = 9,514 × 9,514
  4. Step 4: Simplify right side
    8,506x = 90,516,196
  5. Step 5: Solve for x
    x = 90,516,196/8,506
  6. Step 6: Final answer
    x = 10,641.45

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.