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Finding the Third Proportional to 9,421.31 and 14,253.47

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Solution

The third proportional to 9,421.31 and 14,253.47 is: 21,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.31 : 14,253.47 = 14,253.47 : x
  2. Step 2: Convert to fraction form
    9,421.31/14,253.47 = 14,253.47/x
  3. Step 3: Cross multiply
    9,421.31x = 14,253.47 × 14,253.47
  4. Step 4: Simplify right side
    9,421.31x = 203,161,371.41
  5. Step 5: Solve for x
    x = 203,161,371.41/9,421.31
  6. Step 6: Final answer
    x = 21,564.02

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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.