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Finding the Third Proportional to 10,566.70 and 22,967.30

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Solution

The third proportional to 10,566.70 and 22,967.30 is: 49,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.70 : 22,967.30 = 22,967.30 : x
  2. Step 2: Convert to fraction form
    10,566.70/22,967.30 = 22,967.30/x
  3. Step 3: Cross multiply
    10,566.70x = 22,967.30 × 22,967.30
  4. Step 4: Simplify right side
    10,566.70x = 527,496,725.74
  5. Step 5: Solve for x
    x = 527,496,725.74/10,566.70
  6. Step 6: Final answer
    x = 49,920.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.