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Finding the Third Proportional to 33,810.75 and 72,312

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Solution

The third proportional to 33,810.75 and 72,312 is: 154,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810.75 : 72,312 = 72,312 : x
  2. Step 2: Convert to fraction form
    33,810.75/72,312 = 72,312/x
  3. Step 3: Cross multiply
    33,810.75x = 72,312 × 72,312
  4. Step 4: Simplify right side
    33,810.75x = 5,229,025,344
  5. Step 5: Solve for x
    x = 5,229,025,344/33,810.75
  6. Step 6: Final answer
    x = 154,655.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.