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Finding the Third Proportional to 32,241.16 and 70,684.52

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Solution

The third proportional to 32,241.16 and 70,684.52 is: 154,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241.16 : 70,684.52 = 70,684.52 : x
  2. Step 2: Convert to fraction form
    32,241.16/70,684.52 = 70,684.52/x
  3. Step 3: Cross multiply
    32,241.16x = 70,684.52 × 70,684.52
  4. Step 4: Simplify right side
    32,241.16x = 4,996,301,853.59
  5. Step 5: Solve for x
    x = 4,996,301,853.59/32,241.16
  6. Step 6: Final answer
    x = 154,966.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.