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Finding the Third Proportional to 45,687.50 and 92,630

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Solution

The third proportional to 45,687.50 and 92,630 is: 187,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,687.50 : 92,630 = 92,630 : x
  2. Step 2: Convert to fraction form
    45,687.50/92,630 = 92,630/x
  3. Step 3: Cross multiply
    45,687.50x = 92,630 × 92,630
  4. Step 4: Simplify right side
    45,687.50x = 8,580,316,900
  5. Step 5: Solve for x
    x = 8,580,316,900/45,687.50
  6. Step 6: Final answer
    x = 187,804.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.