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Finding the Third Proportional to 1,117.13 and 1,469.04

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Solution

The third proportional to 1,117.13 and 1,469.04 is: 1,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.13 : 1,469.04 = 1,469.04 : x
  2. Step 2: Convert to fraction form
    1,117.13/1,469.04 = 1,469.04/x
  3. Step 3: Cross multiply
    1,117.13x = 1,469.04 × 1,469.04
  4. Step 4: Simplify right side
    1,117.13x = 2,158,075.77
  5. Step 5: Solve for x
    x = 2,158,075.77/1,117.13
  6. Step 6: Final answer
    x = 1,931.81

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.