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Finding the Third Proportional to 1,471.08 and 2,061.70

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Solution

The third proportional to 1,471.08 and 2,061.70 is: 2,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.08 : 2,061.70 = 2,061.70 : x
  2. Step 2: Convert to fraction form
    1,471.08/2,061.70 = 2,061.70/x
  3. Step 3: Cross multiply
    1,471.08x = 2,061.70 × 2,061.70
  4. Step 4: Simplify right side
    1,471.08x = 4,250,619.78
  5. Step 5: Solve for x
    x = 4,250,619.78/1,471.08
  6. Step 6: Final answer
    x = 2,889.46

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.