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Finding the Third Proportional to 4,341.73 and 10,151.89

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Solution

The third proportional to 4,341.73 and 10,151.89 is: 23,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.73 : 10,151.89 = 10,151.89 : x
  2. Step 2: Convert to fraction form
    4,341.73/10,151.89 = 10,151.89/x
  3. Step 3: Cross multiply
    4,341.73x = 10,151.89 × 10,151.89
  4. Step 4: Simplify right side
    4,341.73x = 103,060,962.57
  5. Step 5: Solve for x
    x = 103,060,962.57/4,341.73
  6. Step 6: Final answer
    x = 23,737.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.