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Finding the Third Proportional to 1,312.03 and 3,564.84

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Solution

The third proportional to 1,312.03 and 3,564.84 is: 9,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.03 : 3,564.84 = 3,564.84 : x
  2. Step 2: Convert to fraction form
    1,312.03/3,564.84 = 3,564.84/x
  3. Step 3: Cross multiply
    1,312.03x = 3,564.84 × 3,564.84
  4. Step 4: Simplify right side
    1,312.03x = 12,708,110.96
  5. Step 5: Solve for x
    x = 12,708,110.96/1,312.03
  6. Step 6: Final answer
    x = 9,685.83

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.