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Finding the Third Proportional to 4,300.13 and 9,301.88

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Solution

The third proportional to 4,300.13 and 9,301.88 is: 20,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300.13 : 9,301.88 = 9,301.88 : x
  2. Step 2: Convert to fraction form
    4,300.13/9,301.88 = 9,301.88/x
  3. Step 3: Cross multiply
    4,300.13x = 9,301.88 × 9,301.88
  4. Step 4: Simplify right side
    4,300.13x = 86,524,878.52
  5. Step 5: Solve for x
    x = 86,524,878.52/4,300.13
  6. Step 6: Final answer
    x = 20,121.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.