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Finding the Third Proportional to 32,339.25 and 70,373.81

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Solution

The third proportional to 32,339.25 and 70,373.81 is: 153,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,339.25 : 70,373.81 = 70,373.81 : x
  2. Step 2: Convert to fraction form
    32,339.25/70,373.81 = 70,373.81/x
  3. Step 3: Cross multiply
    32,339.25x = 70,373.81 × 70,373.81
  4. Step 4: Simplify right side
    32,339.25x = 4,952,473,485.79
  5. Step 5: Solve for x
    x = 4,952,473,485.79/32,339.25
  6. Step 6: Final answer
    x = 153,141.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.