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Finding the Third Proportional to 2,315 and 3,681

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Solution

The third proportional to 2,315 and 3,681 is: 5,853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315 : 3,681 = 3,681 : x
  2. Step 2: Convert to fraction form
    2,315/3,681 = 3,681/x
  3. Step 3: Cross multiply
    2,315x = 3,681 × 3,681
  4. Step 4: Simplify right side
    2,315x = 13,549,761
  5. Step 5: Solve for x
    x = 13,549,761/2,315
  6. Step 6: Final answer
    x = 5,853.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.