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Finding the Third Proportional to 1,060.91 and 1,386.18

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Solution

The third proportional to 1,060.91 and 1,386.18 is: 1,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.91 : 1,386.18 = 1,386.18 : x
  2. Step 2: Convert to fraction form
    1,060.91/1,386.18 = 1,386.18/x
  3. Step 3: Cross multiply
    1,060.91x = 1,386.18 × 1,386.18
  4. Step 4: Simplify right side
    1,060.91x = 1,921,483.30
  5. Step 5: Solve for x
    x = 1,921,483.30/1,060.91
  6. Step 6: Final answer
    x = 1,811.16

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.