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Finding the Third Proportional to 10,818.38 and 22,730.06

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Solution

The third proportional to 10,818.38 and 22,730.06 is: 47,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.38 : 22,730.06 = 22,730.06 : x
  2. Step 2: Convert to fraction form
    10,818.38/22,730.06 = 22,730.06/x
  3. Step 3: Cross multiply
    10,818.38x = 22,730.06 × 22,730.06
  4. Step 4: Simplify right side
    10,818.38x = 516,655,741.25
  5. Step 5: Solve for x
    x = 516,655,741.25/10,818.38
  6. Step 6: Final answer
    x = 47,757.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.