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Finding the Third Proportional to 10,347 and 15,082.50

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Solution

The third proportional to 10,347 and 15,082.50 is: 21,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347 : 15,082.50 = 15,082.50 : x
  2. Step 2: Convert to fraction form
    10,347/15,082.50 = 15,082.50/x
  3. Step 3: Cross multiply
    10,347x = 15,082.50 × 15,082.50
  4. Step 4: Simplify right side
    10,347x = 227,481,806.25
  5. Step 5: Solve for x
    x = 227,481,806.25/10,347
  6. Step 6: Final answer
    x = 21,985.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.