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Finding the Third Proportional to 3,159 and 3,705.75

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Solution

The third proportional to 3,159 and 3,705.75 is: 4,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159 : 3,705.75 = 3,705.75 : x
  2. Step 2: Convert to fraction form
    3,159/3,705.75 = 3,705.75/x
  3. Step 3: Cross multiply
    3,159x = 3,705.75 × 3,705.75
  4. Step 4: Simplify right side
    3,159x = 13,732,583.06
  5. Step 5: Solve for x
    x = 13,732,583.06/3,159
  6. Step 6: Final answer
    x = 4,347.13

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.