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Finding the Third Proportional to 39,618 and 93,550.50

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Solution

The third proportional to 39,618 and 93,550.50 is: 220,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 93,550.50 = 93,550.50 : x
  2. Step 2: Convert to fraction form
    39,618/93,550.50 = 93,550.50/x
  3. Step 3: Cross multiply
    39,618x = 93,550.50 × 93,550.50
  4. Step 4: Simplify right side
    39,618x = 8,751,696,050.25
  5. Step 5: Solve for x
    x = 8,751,696,050.25/39,618
  6. Step 6: Final answer
    x = 220,902.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.