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Finding the Third Proportional to 1,258.31 and 1,783.13

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Solution

The third proportional to 1,258.31 and 1,783.13 is: 2,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.31 : 1,783.13 = 1,783.13 : x
  2. Step 2: Convert to fraction form
    1,258.31/1,783.13 = 1,783.13/x
  3. Step 3: Cross multiply
    1,258.31x = 1,783.13 × 1,783.13
  4. Step 4: Simplify right side
    1,258.31x = 3,179,534.77
  5. Step 5: Solve for x
    x = 3,179,534.77/1,258.31
  6. Step 6: Final answer
    x = 2,526.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.