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Finding the Third Proportional to 32,708.81 and 61,314.47

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Solution

The third proportional to 32,708.81 and 61,314.47 is: 114,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708.81 : 61,314.47 = 61,314.47 : x
  2. Step 2: Convert to fraction form
    32,708.81/61,314.47 = 61,314.47/x
  3. Step 3: Cross multiply
    32,708.81x = 61,314.47 × 61,314.47
  4. Step 4: Simplify right side
    32,708.81x = 3,759,464,078.09
  5. Step 5: Solve for x
    x = 3,759,464,078.09/32,708.81
  6. Step 6: Final answer
    x = 114,937.35

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.