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Finding the Third Proportional to 32,874 and 70,937.63

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Solution

The third proportional to 32,874 and 70,937.63 is: 153,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874 : 70,937.63 = 70,937.63 : x
  2. Step 2: Convert to fraction form
    32,874/70,937.63 = 70,937.63/x
  3. Step 3: Cross multiply
    32,874x = 70,937.63 × 70,937.63
  4. Step 4: Simplify right side
    32,874x = 5,032,146,640.64
  5. Step 5: Solve for x
    x = 5,032,146,640.64/32,874
  6. Step 6: Final answer
    x = 153,073.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.