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Finding the Third Proportional to 38,232 and 58,482

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Solution

The third proportional to 38,232 and 58,482 is: 89,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232 : 58,482 = 58,482 : x
  2. Step 2: Convert to fraction form
    38,232/58,482 = 58,482/x
  3. Step 3: Cross multiply
    38,232x = 58,482 × 58,482
  4. Step 4: Simplify right side
    38,232x = 3,420,144,324
  5. Step 5: Solve for x
    x = 3,420,144,324/38,232
  6. Step 6: Final answer
    x = 89,457.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.