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Finding the Third Proportional to 1,135.13 and 1,478.81

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Solution

The third proportional to 1,135.13 and 1,478.81 is: 1,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.13 : 1,478.81 = 1,478.81 : x
  2. Step 2: Convert to fraction form
    1,135.13/1,478.81 = 1,478.81/x
  3. Step 3: Cross multiply
    1,135.13x = 1,478.81 × 1,478.81
  4. Step 4: Simplify right side
    1,135.13x = 2,186,886.41
  5. Step 5: Solve for x
    x = 2,186,886.41/1,135.13
  6. Step 6: Final answer
    x = 1,926.56

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.