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Finding the Third Proportional to 1,585 and 3,510

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Solution

The third proportional to 1,585 and 3,510 is: 7,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585 : 3,510 = 3,510 : x
  2. Step 2: Convert to fraction form
    1,585/3,510 = 3,510/x
  3. Step 3: Cross multiply
    1,585x = 3,510 × 3,510
  4. Step 4: Simplify right side
    1,585x = 12,320,100
  5. Step 5: Solve for x
    x = 12,320,100/1,585
  6. Step 6: Final answer
    x = 7,772.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.