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Finding the Third Proportional to 637.13 and 1,094.06

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Solution

The third proportional to 637.13 and 1,094.06 is: 1,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.13 : 1,094.06 = 1,094.06 : x
  2. Step 2: Convert to fraction form
    637.13/1,094.06 = 1,094.06/x
  3. Step 3: Cross multiply
    637.13x = 1,094.06 × 1,094.06
  4. Step 4: Simplify right side
    637.13x = 1,196,972.75
  5. Step 5: Solve for x
    x = 1,196,972.75/637.13
  6. Step 6: Final answer
    x = 1,878.71

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.