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Finding the Third Proportional to 9,811.13 and 24,062.06

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Solution

The third proportional to 9,811.13 and 24,062.06 is: 59,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 24,062.06 = 24,062.06 : x
  2. Step 2: Convert to fraction form
    9,811.13/24,062.06 = 24,062.06/x
  3. Step 3: Cross multiply
    9,811.13x = 24,062.06 × 24,062.06
  4. Step 4: Simplify right side
    9,811.13x = 578,982,851.75
  5. Step 5: Solve for x
    x = 578,982,851.75/9,811.13
  6. Step 6: Final answer
    x = 59,012.89

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.