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Finding the Third Proportional to 1,580 and 3,382

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Solution

The third proportional to 1,580 and 3,382 is: 7,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 3,382 = 3,382 : x
  2. Step 2: Convert to fraction form
    1,580/3,382 = 3,382/x
  3. Step 3: Cross multiply
    1,580x = 3,382 × 3,382
  4. Step 4: Simplify right side
    1,580x = 11,437,924
  5. Step 5: Solve for x
    x = 11,437,924/1,580
  6. Step 6: Final answer
    x = 7,239.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.