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Finding the Third Proportional to 32,434.88 and 70,738.88

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Solution

The third proportional to 32,434.88 and 70,738.88 is: 154,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.88 : 70,738.88 = 70,738.88 : x
  2. Step 2: Convert to fraction form
    32,434.88/70,738.88 = 70,738.88/x
  3. Step 3: Cross multiply
    32,434.88x = 70,738.88 × 70,738.88
  4. Step 4: Simplify right side
    32,434.88x = 5,003,988,436.27
  5. Step 5: Solve for x
    x = 5,003,988,436.27/32,434.88
  6. Step 6: Final answer
    x = 154,278.02

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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.