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Finding the Third Proportional to 10,122.47 and 15,210.28

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Solution

The third proportional to 10,122.47 and 15,210.28 is: 22,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.47 : 15,210.28 = 15,210.28 : x
  2. Step 2: Convert to fraction form
    10,122.47/15,210.28 = 15,210.28/x
  3. Step 3: Cross multiply
    10,122.47x = 15,210.28 × 15,210.28
  4. Step 4: Simplify right side
    10,122.47x = 231,352,655.70
  5. Step 5: Solve for x
    x = 231,352,655.70/10,122.47
  6. Step 6: Final answer
    x = 22,855.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.