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Finding the Third Proportional to 5,040 and 6,864.50

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Solution

The third proportional to 5,040 and 6,864.50 is: 9,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040 : 6,864.50 = 6,864.50 : x
  2. Step 2: Convert to fraction form
    5,040/6,864.50 = 6,864.50/x
  3. Step 3: Cross multiply
    5,040x = 6,864.50 × 6,864.50
  4. Step 4: Simplify right side
    5,040x = 47,121,360.25
  5. Step 5: Solve for x
    x = 47,121,360.25/5,040
  6. Step 6: Final answer
    x = 9,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.