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Finding the Third Proportional to 23,243.04 and 47,711.20

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Solution

The third proportional to 23,243.04 and 47,711.20 is: 97,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,243.04 : 47,711.20 = 47,711.20 : x
  2. Step 2: Convert to fraction form
    23,243.04/47,711.20 = 47,711.20/x
  3. Step 3: Cross multiply
    23,243.04x = 47,711.20 × 47,711.20
  4. Step 4: Simplify right side
    23,243.04x = 2,276,358,903.64
  5. Step 5: Solve for x
    x = 2,276,358,903.64/23,243.04
  6. Step 6: Final answer
    x = 97,937.23

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.