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Finding the Third Proportional to 36,459 and 59,535

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Solution

The third proportional to 36,459 and 59,535 is: 97,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,459 : 59,535 = 59,535 : x
  2. Step 2: Convert to fraction form
    36,459/59,535 = 59,535/x
  3. Step 3: Cross multiply
    36,459x = 59,535 × 59,535
  4. Step 4: Simplify right side
    36,459x = 3,544,416,225
  5. Step 5: Solve for x
    x = 3,544,416,225/36,459
  6. Step 6: Final answer
    x = 97,216.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.