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Finding the Third Proportional to 19,142 and 40,492

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Solution

The third proportional to 19,142 and 40,492 is: 85,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142 : 40,492 = 40,492 : x
  2. Step 2: Convert to fraction form
    19,142/40,492 = 40,492/x
  3. Step 3: Cross multiply
    19,142x = 40,492 × 40,492
  4. Step 4: Simplify right side
    19,142x = 1,639,602,064
  5. Step 5: Solve for x
    x = 1,639,602,064/19,142
  6. Step 6: Final answer
    x = 85,654.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.