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Finding the Third Proportional to 30,818 and 40,471

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Solution

The third proportional to 30,818 and 40,471 is: 53,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818 : 40,471 = 40,471 : x
  2. Step 2: Convert to fraction form
    30,818/40,471 = 40,471/x
  3. Step 3: Cross multiply
    30,818x = 40,471 × 40,471
  4. Step 4: Simplify right side
    30,818x = 1,637,901,841
  5. Step 5: Solve for x
    x = 1,637,901,841/30,818
  6. Step 6: Final answer
    x = 53,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.