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Finding the Third Proportional to 9,862.31 and 21,124.69

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Solution

The third proportional to 9,862.31 and 21,124.69 is: 45,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.31 : 21,124.69 = 21,124.69 : x
  2. Step 2: Convert to fraction form
    9,862.31/21,124.69 = 21,124.69/x
  3. Step 3: Cross multiply
    9,862.31x = 21,124.69 × 21,124.69
  4. Step 4: Simplify right side
    9,862.31x = 446,252,421.97
  5. Step 5: Solve for x
    x = 446,252,421.97/9,862.31
  6. Step 6: Final answer
    x = 45,248.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.