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Finding the Third Proportional to 1,095.33 and 1,475.93

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Solution

The third proportional to 1,095.33 and 1,475.93 is: 1,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.33 : 1,475.93 = 1,475.93 : x
  2. Step 2: Convert to fraction form
    1,095.33/1,475.93 = 1,475.93/x
  3. Step 3: Cross multiply
    1,095.33x = 1,475.93 × 1,475.93
  4. Step 4: Simplify right side
    1,095.33x = 2,178,368.44
  5. Step 5: Solve for x
    x = 2,178,368.44/1,095.33
  6. Step 6: Final answer
    x = 1,988.78

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