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Finding the Third Proportional to 34,673.06 and 74,687.06

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Solution

The third proportional to 34,673.06 and 74,687.06 is: 160,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,673.06 : 74,687.06 = 74,687.06 : x
  2. Step 2: Convert to fraction form
    34,673.06/74,687.06 = 74,687.06/x
  3. Step 3: Cross multiply
    34,673.06x = 74,687.06 × 74,687.06
  4. Step 4: Simplify right side
    34,673.06x = 5,578,157,304.88
  5. Step 5: Solve for x
    x = 5,578,157,304.88/34,673.06
  6. Step 6: Final answer
    x = 160,878.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.