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Finding the Third Proportional to 10,508.91 and 22,678.52

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Solution

The third proportional to 10,508.91 and 22,678.52 is: 48,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.91 : 22,678.52 = 22,678.52 : x
  2. Step 2: Convert to fraction form
    10,508.91/22,678.52 = 22,678.52/x
  3. Step 3: Cross multiply
    10,508.91x = 22,678.52 × 22,678.52
  4. Step 4: Simplify right side
    10,508.91x = 514,315,425.31
  5. Step 5: Solve for x
    x = 514,315,425.31/10,508.91
  6. Step 6: Final answer
    x = 48,940.91

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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.