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Finding the Third Proportional to 1,580 and 3,156

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Solution

The third proportional to 1,580 and 3,156 is: 6,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 3,156 = 3,156 : x
  2. Step 2: Convert to fraction form
    1,580/3,156 = 3,156/x
  3. Step 3: Cross multiply
    1,580x = 3,156 × 3,156
  4. Step 4: Simplify right side
    1,580x = 9,960,336
  5. Step 5: Solve for x
    x = 9,960,336/1,580
  6. Step 6: Final answer
    x = 6,304.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.