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Finding the Third Proportional to 945.38 and 1,385.06

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Solution

The third proportional to 945.38 and 1,385.06 is: 2,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.38 : 1,385.06 = 1,385.06 : x
  2. Step 2: Convert to fraction form
    945.38/1,385.06 = 1,385.06/x
  3. Step 3: Cross multiply
    945.38x = 1,385.06 × 1,385.06
  4. Step 4: Simplify right side
    945.38x = 1,918,398.13
  5. Step 5: Solve for x
    x = 1,918,398.13/945.38
  6. Step 6: Final answer
    x = 2,029.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.