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Finding the Third Proportional to 18,276 and 37,988.50

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Solution

The third proportional to 18,276 and 37,988.50 is: 78,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,276 : 37,988.50 = 37,988.50 : x
  2. Step 2: Convert to fraction form
    18,276/37,988.50 = 37,988.50/x
  3. Step 3: Cross multiply
    18,276x = 37,988.50 × 37,988.50
  4. Step 4: Simplify right side
    18,276x = 1,443,126,132.25
  5. Step 5: Solve for x
    x = 1,443,126,132.25/18,276
  6. Step 6: Final answer
    x = 78,962.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.