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Finding the Third Proportional to 19,612.50 and 42,501

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Solution

The third proportional to 19,612.50 and 42,501 is: 92,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,612.50 : 42,501 = 42,501 : x
  2. Step 2: Convert to fraction form
    19,612.50/42,501 = 42,501/x
  3. Step 3: Cross multiply
    19,612.50x = 42,501 × 42,501
  4. Step 4: Simplify right side
    19,612.50x = 1,806,335,001
  5. Step 5: Solve for x
    x = 1,806,335,001/19,612.50
  6. Step 6: Final answer
    x = 92,101.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.