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Finding the Third Proportional to 10,219.50 and 15,427.13

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Solution

The third proportional to 10,219.50 and 15,427.13 is: 23,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.50 : 15,427.13 = 15,427.13 : x
  2. Step 2: Convert to fraction form
    10,219.50/15,427.13 = 15,427.13/x
  3. Step 3: Cross multiply
    10,219.50x = 15,427.13 × 15,427.13
  4. Step 4: Simplify right side
    10,219.50x = 237,996,185.77
  5. Step 5: Solve for x
    x = 237,996,185.77/10,219.50
  6. Step 6: Final answer
    x = 23,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.