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Finding the Third Proportional to 5,280.19 and 6,001.59

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Solution

The third proportional to 5,280.19 and 6,001.59 is: 6,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.19 : 6,001.59 = 6,001.59 : x
  2. Step 2: Convert to fraction form
    5,280.19/6,001.59 = 6,001.59/x
  3. Step 3: Cross multiply
    5,280.19x = 6,001.59 × 6,001.59
  4. Step 4: Simplify right side
    5,280.19x = 36,019,127.54
  5. Step 5: Solve for x
    x = 36,019,127.54/5,280.19
  6. Step 6: Final answer
    x = 6,821.56

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.