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Finding the Third Proportional to 37,783 and 59,995.50

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Solution

The third proportional to 37,783 and 59,995.50 is: 95,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783 : 59,995.50 = 59,995.50 : x
  2. Step 2: Convert to fraction form
    37,783/59,995.50 = 59,995.50/x
  3. Step 3: Cross multiply
    37,783x = 59,995.50 × 59,995.50
  4. Step 4: Simplify right side
    37,783x = 3,599,460,020.25
  5. Step 5: Solve for x
    x = 3,599,460,020.25/37,783
  6. Step 6: Final answer
    x = 95,266.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.