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Finding the Third Proportional to 4,505.06 and 10,473.19

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Solution

The third proportional to 4,505.06 and 10,473.19 is: 24,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.06 : 10,473.19 = 10,473.19 : x
  2. Step 2: Convert to fraction form
    4,505.06/10,473.19 = 10,473.19/x
  3. Step 3: Cross multiply
    4,505.06x = 10,473.19 × 10,473.19
  4. Step 4: Simplify right side
    4,505.06x = 109,687,656.41
  5. Step 5: Solve for x
    x = 109,687,656.41/4,505.06
  6. Step 6: Final answer
    x = 24,347.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.