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Finding the Third Proportional to 36,506 and 40,346

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Solution

The third proportional to 36,506 and 40,346 is: 44,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 40,346 = 40,346 : x
  2. Step 2: Convert to fraction form
    36,506/40,346 = 40,346/x
  3. Step 3: Cross multiply
    36,506x = 40,346 × 40,346
  4. Step 4: Simplify right side
    36,506x = 1,627,799,716
  5. Step 5: Solve for x
    x = 1,627,799,716/36,506
  6. Step 6: Final answer
    x = 44,589.92

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.