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Finding the Third Proportional to 36,506 and 79,587

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Solution

The third proportional to 36,506 and 79,587 is: 173,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 79,587 = 79,587 : x
  2. Step 2: Convert to fraction form
    36,506/79,587 = 79,587/x
  3. Step 3: Cross multiply
    36,506x = 79,587 × 79,587
  4. Step 4: Simplify right side
    36,506x = 6,334,090,569
  5. Step 5: Solve for x
    x = 6,334,090,569/36,506
  6. Step 6: Final answer
    x = 173,508.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.