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Finding the Third Proportional to 1,437.35 and 2,258.55

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Solution

The third proportional to 1,437.35 and 2,258.55 is: 3,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.35 : 2,258.55 = 2,258.55 : x
  2. Step 2: Convert to fraction form
    1,437.35/2,258.55 = 2,258.55/x
  3. Step 3: Cross multiply
    1,437.35x = 2,258.55 × 2,258.55
  4. Step 4: Simplify right side
    1,437.35x = 5,101,036.19
  5. Step 5: Solve for x
    x = 5,101,036.19/1,437.35
  6. Step 6: Final answer
    x = 3,548.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.