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Finding the Third Proportional to 37,038 and 79,867.50

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Solution

The third proportional to 37,038 and 79,867.50 is: 172,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038 : 79,867.50 = 79,867.50 : x
  2. Step 2: Convert to fraction form
    37,038/79,867.50 = 79,867.50/x
  3. Step 3: Cross multiply
    37,038x = 79,867.50 × 79,867.50
  4. Step 4: Simplify right side
    37,038x = 6,378,817,556.25
  5. Step 5: Solve for x
    x = 6,378,817,556.25/37,038
  6. Step 6: Final answer
    x = 172,223.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.