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Finding the Third Proportional to 7,470.35 and 10,150.95

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Solution

The third proportional to 7,470.35 and 10,150.95 is: 13,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.35 : 10,150.95 = 10,150.95 : x
  2. Step 2: Convert to fraction form
    7,470.35/10,150.95 = 10,150.95/x
  3. Step 3: Cross multiply
    7,470.35x = 10,150.95 × 10,150.95
  4. Step 4: Simplify right side
    7,470.35x = 103,041,690.74
  5. Step 5: Solve for x
    x = 103,041,690.74/7,470.35
  6. Step 6: Final answer
    x = 13,793.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.