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Finding the Third Proportional to 7,490.39 and 16,390.05

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Solution

The third proportional to 7,490.39 and 16,390.05 is: 35,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.39 : 16,390.05 = 16,390.05 : x
  2. Step 2: Convert to fraction form
    7,490.39/16,390.05 = 16,390.05/x
  3. Step 3: Cross multiply
    7,490.39x = 16,390.05 × 16,390.05
  4. Step 4: Simplify right side
    7,490.39x = 268,633,892.66
  5. Step 5: Solve for x
    x = 268,633,892.66/7,490.39
  6. Step 6: Final answer
    x = 35,863.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.