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Finding the Third Proportional to 36,363 and 76,036.50

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Solution

The third proportional to 36,363 and 76,036.50 is: 158,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,363 : 76,036.50 = 76,036.50 : x
  2. Step 2: Convert to fraction form
    36,363/76,036.50 = 76,036.50/x
  3. Step 3: Cross multiply
    36,363x = 76,036.50 × 76,036.50
  4. Step 4: Simplify right side
    36,363x = 5,781,549,332.25
  5. Step 5: Solve for x
    x = 5,781,549,332.25/36,363
  6. Step 6: Final answer
    x = 158,995.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.