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Finding the Third Proportional to 36,754 and 53,915

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Solution

The third proportional to 36,754 and 53,915 is: 79,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,754 : 53,915 = 53,915 : x
  2. Step 2: Convert to fraction form
    36,754/53,915 = 53,915/x
  3. Step 3: Cross multiply
    36,754x = 53,915 × 53,915
  4. Step 4: Simplify right side
    36,754x = 2,906,827,225
  5. Step 5: Solve for x
    x = 2,906,827,225/36,754
  6. Step 6: Final answer
    x = 79,088.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.