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Finding the Third Proportional to 4,501.13 and 5,065.88

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Solution

The third proportional to 4,501.13 and 5,065.88 is: 5,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.13 : 5,065.88 = 5,065.88 : x
  2. Step 2: Convert to fraction form
    4,501.13/5,065.88 = 5,065.88/x
  3. Step 3: Cross multiply
    4,501.13x = 5,065.88 × 5,065.88
  4. Step 4: Simplify right side
    4,501.13x = 25,663,089.52
  5. Step 5: Solve for x
    x = 25,663,089.52/4,501.13
  6. Step 6: Final answer
    x = 5,701.48

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.