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Finding the Third Proportional to 7,490.81 and 16,150.22

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Solution

The third proportional to 7,490.81 and 16,150.22 is: 34,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.81 : 16,150.22 = 16,150.22 : x
  2. Step 2: Convert to fraction form
    7,490.81/16,150.22 = 16,150.22/x
  3. Step 3: Cross multiply
    7,490.81x = 16,150.22 × 16,150.22
  4. Step 4: Simplify right side
    7,490.81x = 260,829,565.67
  5. Step 5: Solve for x
    x = 260,829,565.67/7,490.81
  6. Step 6: Final answer
    x = 34,819.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.