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Finding the Third Proportional to 45,413 and 67,471

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Solution

The third proportional to 45,413 and 67,471 is: 100,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,413 : 67,471 = 67,471 : x
  2. Step 2: Convert to fraction form
    45,413/67,471 = 67,471/x
  3. Step 3: Cross multiply
    45,413x = 67,471 × 67,471
  4. Step 4: Simplify right side
    45,413x = 4,552,335,841
  5. Step 5: Solve for x
    x = 4,552,335,841/45,413
  6. Step 6: Final answer
    x = 100,243.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.