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Finding the Third Proportional to 37,018.90 and 79,948.90

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Solution

The third proportional to 37,018.90 and 79,948.90 is: 172,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,018.90 : 79,948.90 = 79,948.90 : x
  2. Step 2: Convert to fraction form
    37,018.90/79,948.90 = 79,948.90/x
  3. Step 3: Cross multiply
    37,018.90x = 79,948.90 × 79,948.90
  4. Step 4: Simplify right side
    37,018.90x = 6,391,826,361.37
  5. Step 5: Solve for x
    x = 6,391,826,361.37/37,018.90
  6. Step 6: Final answer
    x = 172,663.87

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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.