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Finding the Third Proportional to 937.06 and 1,412.79

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Solution

The third proportional to 937.06 and 1,412.79 is: 2,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.06 : 1,412.79 = 1,412.79 : x
  2. Step 2: Convert to fraction form
    937.06/1,412.79 = 1,412.79/x
  3. Step 3: Cross multiply
    937.06x = 1,412.79 × 1,412.79
  4. Step 4: Simplify right side
    937.06x = 1,995,985.35
  5. Step 5: Solve for x
    x = 1,995,985.35/937.06
  6. Step 6: Final answer
    x = 2,130.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.