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Finding the Third Proportional to 37,047.38 and 79,886.25

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Solution

The third proportional to 37,047.38 and 79,886.25 is: 172,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047.38 : 79,886.25 = 79,886.25 : x
  2. Step 2: Convert to fraction form
    37,047.38/79,886.25 = 79,886.25/x
  3. Step 3: Cross multiply
    37,047.38x = 79,886.25 × 79,886.25
  4. Step 4: Simplify right side
    37,047.38x = 6,381,812,939.06
  5. Step 5: Solve for x
    x = 6,381,812,939.06/37,047.38
  6. Step 6: Final answer
    x = 172,260.87

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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.