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Finding the Third Proportional to 40,734.75 and 61,362

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Solution

The third proportional to 40,734.75 and 61,362 is: 92,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,734.75 : 61,362 = 61,362 : x
  2. Step 2: Convert to fraction form
    40,734.75/61,362 = 61,362/x
  3. Step 3: Cross multiply
    40,734.75x = 61,362 × 61,362
  4. Step 4: Simplify right side
    40,734.75x = 3,765,295,044
  5. Step 5: Solve for x
    x = 3,765,295,044/40,734.75
  6. Step 6: Final answer
    x = 92,434.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.