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Finding the Third Proportional to 41,252.50 and 63,985

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Solution

The third proportional to 41,252.50 and 63,985 is: 99,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,252.50 : 63,985 = 63,985 : x
  2. Step 2: Convert to fraction form
    41,252.50/63,985 = 63,985/x
  3. Step 3: Cross multiply
    41,252.50x = 63,985 × 63,985
  4. Step 4: Simplify right side
    41,252.50x = 4,094,080,225
  5. Step 5: Solve for x
    x = 4,094,080,225/41,252.50
  6. Step 6: Final answer
    x = 99,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.