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Finding the Third Proportional to 1,030 and 1,655

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Solution

The third proportional to 1,030 and 1,655 is: 2,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030 : 1,655 = 1,655 : x
  2. Step 2: Convert to fraction form
    1,030/1,655 = 1,655/x
  3. Step 3: Cross multiply
    1,030x = 1,655 × 1,655
  4. Step 4: Simplify right side
    1,030x = 2,739,025
  5. Step 5: Solve for x
    x = 2,739,025/1,030
  6. Step 6: Final answer
    x = 2,659.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.