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Finding the Third Proportional to 37,548 and 81,292.50

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Solution

The third proportional to 37,548 and 81,292.50 is: 176,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548 : 81,292.50 = 81,292.50 : x
  2. Step 2: Convert to fraction form
    37,548/81,292.50 = 81,292.50/x
  3. Step 3: Cross multiply
    37,548x = 81,292.50 × 81,292.50
  4. Step 4: Simplify right side
    37,548x = 6,608,470,556.25
  5. Step 5: Solve for x
    x = 6,608,470,556.25/37,548
  6. Step 6: Final answer
    x = 176,000.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.