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Finding the Third Proportional to 6,006.25 and 8,985.38

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Solution

The third proportional to 6,006.25 and 8,985.38 is: 13,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.25 : 8,985.38 = 8,985.38 : x
  2. Step 2: Convert to fraction form
    6,006.25/8,985.38 = 8,985.38/x
  3. Step 3: Cross multiply
    6,006.25x = 8,985.38 × 8,985.38
  4. Step 4: Simplify right side
    6,006.25x = 80,736,963.89
  5. Step 5: Solve for x
    x = 80,736,963.89/6,006.25
  6. Step 6: Final answer
    x = 13,442.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.