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Finding the Third Proportional to 19,482 and 42,492

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Solution

The third proportional to 19,482 and 42,492 is: 92,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482 : 42,492 = 42,492 : x
  2. Step 2: Convert to fraction form
    19,482/42,492 = 42,492/x
  3. Step 3: Cross multiply
    19,482x = 42,492 × 42,492
  4. Step 4: Simplify right side
    19,482x = 1,805,570,064
  5. Step 5: Solve for x
    x = 1,805,570,064/19,482
  6. Step 6: Final answer
    x = 92,678.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.