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Finding the Third Proportional to 30,492 and 42,714

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Solution

The third proportional to 30,492 and 42,714 is: 59,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492 : 42,714 = 42,714 : x
  2. Step 2: Convert to fraction form
    30,492/42,714 = 42,714/x
  3. Step 3: Cross multiply
    30,492x = 42,714 × 42,714
  4. Step 4: Simplify right side
    30,492x = 1,824,485,796
  5. Step 5: Solve for x
    x = 1,824,485,796/30,492
  6. Step 6: Final answer
    x = 59,834.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.