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Finding the Third Proportional to 675.13 and 912.13

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Solution

The third proportional to 675.13 and 912.13 is: 1,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.13 : 912.13 = 912.13 : x
  2. Step 2: Convert to fraction form
    675.13/912.13 = 912.13/x
  3. Step 3: Cross multiply
    675.13x = 912.13 × 912.13
  4. Step 4: Simplify right side
    675.13x = 831,972.02
  5. Step 5: Solve for x
    x = 831,972.02/675.13
  6. Step 6: Final answer
    x = 1,232.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.