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Finding the Third Proportional to 5,478.75 and 8,901.38

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Solution

The third proportional to 5,478.75 and 8,901.38 is: 14,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.75 : 8,901.38 = 8,901.38 : x
  2. Step 2: Convert to fraction form
    5,478.75/8,901.38 = 8,901.38/x
  3. Step 3: Cross multiply
    5,478.75x = 8,901.38 × 8,901.38
  4. Step 4: Simplify right side
    5,478.75x = 79,234,476.89
  5. Step 5: Solve for x
    x = 79,234,476.89/5,478.75
  6. Step 6: Final answer
    x = 14,462.14

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.