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Finding the Third Proportional to 7,483.43 and 11,505.90

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Solution

The third proportional to 7,483.43 and 11,505.90 is: 17,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.43 : 11,505.90 = 11,505.90 : x
  2. Step 2: Convert to fraction form
    7,483.43/11,505.90 = 11,505.90/x
  3. Step 3: Cross multiply
    7,483.43x = 11,505.90 × 11,505.90
  4. Step 4: Simplify right side
    7,483.43x = 132,385,788.74
  5. Step 5: Solve for x
    x = 132,385,788.74/7,483.43
  6. Step 6: Final answer
    x = 17,690.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.