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Finding the Third Proportional to 6,127.50 and 6,654

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Solution

The third proportional to 6,127.50 and 6,654 is: 7,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.50 : 6,654 = 6,654 : x
  2. Step 2: Convert to fraction form
    6,127.50/6,654 = 6,654/x
  3. Step 3: Cross multiply
    6,127.50x = 6,654 × 6,654
  4. Step 4: Simplify right side
    6,127.50x = 44,275,716
  5. Step 5: Solve for x
    x = 44,275,716/6,127.50
  6. Step 6: Final answer
    x = 7,225.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.