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Finding the Third Proportional to 1,478.19 and 3,187.06

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Solution

The third proportional to 1,478.19 and 3,187.06 is: 6,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.19 : 3,187.06 = 3,187.06 : x
  2. Step 2: Convert to fraction form
    1,478.19/3,187.06 = 3,187.06/x
  3. Step 3: Cross multiply
    1,478.19x = 3,187.06 × 3,187.06
  4. Step 4: Simplify right side
    1,478.19x = 10,157,367.38
  5. Step 5: Solve for x
    x = 10,157,367.38/1,478.19
  6. Step 6: Final answer
    x = 6,871.50

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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.