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Finding the Third Proportional to 32,538.38 and 49,217.06

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Solution

The third proportional to 32,538.38 and 49,217.06 is: 74,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.38 : 49,217.06 = 49,217.06 : x
  2. Step 2: Convert to fraction form
    32,538.38/49,217.06 = 49,217.06/x
  3. Step 3: Cross multiply
    32,538.38x = 49,217.06 × 49,217.06
  4. Step 4: Simplify right side
    32,538.38x = 2,422,319,241.13
  5. Step 5: Solve for x
    x = 2,422,319,241.13/32,538.38
  6. Step 6: Final answer
    x = 74,445.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.