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Finding the Third Proportional to 913.50 and 1,427.06

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Solution

The third proportional to 913.50 and 1,427.06 is: 2,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.50 : 1,427.06 = 1,427.06 : x
  2. Step 2: Convert to fraction form
    913.50/1,427.06 = 1,427.06/x
  3. Step 3: Cross multiply
    913.50x = 1,427.06 × 1,427.06
  4. Step 4: Simplify right side
    913.50x = 2,036,507.38
  5. Step 5: Solve for x
    x = 2,036,507.38/913.50
  6. Step 6: Final answer
    x = 2,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.