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Finding the Third Proportional to 36,700 and 53,315

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Solution

The third proportional to 36,700 and 53,315 is: 77,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700 : 53,315 = 53,315 : x
  2. Step 2: Convert to fraction form
    36,700/53,315 = 53,315/x
  3. Step 3: Cross multiply
    36,700x = 53,315 × 53,315
  4. Step 4: Simplify right side
    36,700x = 2,842,489,225
  5. Step 5: Solve for x
    x = 2,842,489,225/36,700
  6. Step 6: Final answer
    x = 77,452.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.