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Finding the Third Proportional to 32,653.97 and 48,854.39

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Solution

The third proportional to 32,653.97 and 48,854.39 is: 73,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653.97 : 48,854.39 = 48,854.39 : x
  2. Step 2: Convert to fraction form
    32,653.97/48,854.39 = 48,854.39/x
  3. Step 3: Cross multiply
    32,653.97x = 48,854.39 × 48,854.39
  4. Step 4: Simplify right side
    32,653.97x = 2,386,751,483.34
  5. Step 5: Solve for x
    x = 2,386,751,483.34/32,653.97
  6. Step 6: Final answer
    x = 73,092.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.