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Finding the Third Proportional to 4,060.76 and 7,275.76

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Solution

The third proportional to 4,060.76 and 7,275.76 is: 13,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,060.76 : 7,275.76 = 7,275.76 : x
  2. Step 2: Convert to fraction form
    4,060.76/7,275.76 = 7,275.76/x
  3. Step 3: Cross multiply
    4,060.76x = 7,275.76 × 7,275.76
  4. Step 4: Simplify right side
    4,060.76x = 52,936,708.59
  5. Step 5: Solve for x
    x = 52,936,708.59/4,060.76
  6. Step 6: Final answer
    x = 13,036.16

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.