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Finding the Third Proportional to 36,693 and 52,482

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Solution

The third proportional to 36,693 and 52,482 is: 75,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,693 : 52,482 = 52,482 : x
  2. Step 2: Convert to fraction form
    36,693/52,482 = 52,482/x
  3. Step 3: Cross multiply
    36,693x = 52,482 × 52,482
  4. Step 4: Simplify right side
    36,693x = 2,754,360,324
  5. Step 5: Solve for x
    x = 2,754,360,324/36,693
  6. Step 6: Final answer
    x = 75,065.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.