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Finding the Third Proportional to 21,543.47 and 48,349.41

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Solution

The third proportional to 21,543.47 and 48,349.41 is: 108,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.47 : 48,349.41 = 48,349.41 : x
  2. Step 2: Convert to fraction form
    21,543.47/48,349.41 = 48,349.41/x
  3. Step 3: Cross multiply
    21,543.47x = 48,349.41 × 48,349.41
  4. Step 4: Simplify right side
    21,543.47x = 2,337,665,084.73
  5. Step 5: Solve for x
    x = 2,337,665,084.73/21,543.47
  6. Step 6: Final answer
    x = 108,509.22

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.