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Finding the Third Proportional to 7,904.25 and 18,829.13

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Solution

The third proportional to 7,904.25 and 18,829.13 is: 44,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.25 : 18,829.13 = 18,829.13 : x
  2. Step 2: Convert to fraction form
    7,904.25/18,829.13 = 18,829.13/x
  3. Step 3: Cross multiply
    7,904.25x = 18,829.13 × 18,829.13
  4. Step 4: Simplify right side
    7,904.25x = 354,535,948.27
  5. Step 5: Solve for x
    x = 354,535,948.27/7,904.25
  6. Step 6: Final answer
    x = 44,853.84

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.