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Finding the Third Proportional to 36,304.75 and 78,641

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Solution

The third proportional to 36,304.75 and 78,641 is: 170,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,304.75 : 78,641 = 78,641 : x
  2. Step 2: Convert to fraction form
    36,304.75/78,641 = 78,641/x
  3. Step 3: Cross multiply
    36,304.75x = 78,641 × 78,641
  4. Step 4: Simplify right side
    36,304.75x = 6,184,406,881
  5. Step 5: Solve for x
    x = 6,184,406,881/36,304.75
  6. Step 6: Final answer
    x = 170,347.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.