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Finding the Third Proportional to 36,688 and 75,320

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Solution

The third proportional to 36,688 and 75,320 is: 154,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,688 : 75,320 = 75,320 : x
  2. Step 2: Convert to fraction form
    36,688/75,320 = 75,320/x
  3. Step 3: Cross multiply
    36,688x = 75,320 × 75,320
  4. Step 4: Simplify right side
    36,688x = 5,673,102,400
  5. Step 5: Solve for x
    x = 5,673,102,400/36,688
  6. Step 6: Final answer
    x = 154,631.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.