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Finding the Third Proportional to 1,470.75 and 2,235.38

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Solution

The third proportional to 1,470.75 and 2,235.38 is: 3,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.75 : 2,235.38 = 2,235.38 : x
  2. Step 2: Convert to fraction form
    1,470.75/2,235.38 = 2,235.38/x
  3. Step 3: Cross multiply
    1,470.75x = 2,235.38 × 2,235.38
  4. Step 4: Simplify right side
    1,470.75x = 4,996,901.39
  5. Step 5: Solve for x
    x = 4,996,901.39/1,470.75
  6. Step 6: Final answer
    x = 3,397.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.