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Finding the Third Proportional to 35,377.50 and 53,521

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Solution

The third proportional to 35,377.50 and 53,521 is: 80,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,377.50 : 53,521 = 53,521 : x
  2. Step 2: Convert to fraction form
    35,377.50/53,521 = 53,521/x
  3. Step 3: Cross multiply
    35,377.50x = 53,521 × 53,521
  4. Step 4: Simplify right side
    35,377.50x = 2,864,497,441
  5. Step 5: Solve for x
    x = 2,864,497,441/35,377.50
  6. Step 6: Final answer
    x = 80,969.47

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