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Finding the Third Proportional to 7,102 and 16,486

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Solution

The third proportional to 7,102 and 16,486 is: 38,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102 : 16,486 = 16,486 : x
  2. Step 2: Convert to fraction form
    7,102/16,486 = 16,486/x
  3. Step 3: Cross multiply
    7,102x = 16,486 × 16,486
  4. Step 4: Simplify right side
    7,102x = 271,788,196
  5. Step 5: Solve for x
    x = 271,788,196/7,102
  6. Step 6: Final answer
    x = 38,269.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.