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Finding the Third Proportional to 10,602.75 and 16,876.13

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Solution

The third proportional to 10,602.75 and 16,876.13 is: 26,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.75 : 16,876.13 = 16,876.13 : x
  2. Step 2: Convert to fraction form
    10,602.75/16,876.13 = 16,876.13/x
  3. Step 3: Cross multiply
    10,602.75x = 16,876.13 × 16,876.13
  4. Step 4: Simplify right side
    10,602.75x = 284,803,595.02
  5. Step 5: Solve for x
    x = 284,803,595.02/10,602.75
  6. Step 6: Final answer
    x = 26,861.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.