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Finding the Third Proportional to 7,422.47 and 10,890.28

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Solution

The third proportional to 7,422.47 and 10,890.28 is: 15,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.47 : 10,890.28 = 10,890.28 : x
  2. Step 2: Convert to fraction form
    7,422.47/10,890.28 = 10,890.28/x
  3. Step 3: Cross multiply
    7,422.47x = 10,890.28 × 10,890.28
  4. Step 4: Simplify right side
    7,422.47x = 118,598,225.70
  5. Step 5: Solve for x
    x = 118,598,225.70/7,422.47
  6. Step 6: Final answer
    x = 15,978.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.