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Finding the Third Proportional to 36,000 and 52,784

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Solution

The third proportional to 36,000 and 52,784 is: 77,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 52,784 = 52,784 : x
  2. Step 2: Convert to fraction form
    36,000/52,784 = 52,784/x
  3. Step 3: Cross multiply
    36,000x = 52,784 × 52,784
  4. Step 4: Simplify right side
    36,000x = 2,786,150,656
  5. Step 5: Solve for x
    x = 2,786,150,656/36,000
  6. Step 6: Final answer
    x = 77,393.07

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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.