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Finding the Third Proportional to 37,291 and 52,138.50

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Solution

The third proportional to 37,291 and 52,138.50 is: 72,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,291 : 52,138.50 = 52,138.50 : x
  2. Step 2: Convert to fraction form
    37,291/52,138.50 = 52,138.50/x
  3. Step 3: Cross multiply
    37,291x = 52,138.50 × 52,138.50
  4. Step 4: Simplify right side
    37,291x = 2,718,423,182.25
  5. Step 5: Solve for x
    x = 2,718,423,182.25/37,291
  6. Step 6: Final answer
    x = 72,897.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.