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Finding the Third Proportional to 37,335 and 80,688

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Solution

The third proportional to 37,335 and 80,688 is: 174,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,335 : 80,688 = 80,688 : x
  2. Step 2: Convert to fraction form
    37,335/80,688 = 80,688/x
  3. Step 3: Cross multiply
    37,335x = 80,688 × 80,688
  4. Step 4: Simplify right side
    37,335x = 6,510,553,344
  5. Step 5: Solve for x
    x = 6,510,553,344/37,335
  6. Step 6: Final answer
    x = 174,382.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.