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Finding the Third Proportional to 23,410 and 43,499

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Solution

The third proportional to 23,410 and 43,499 is: 80,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410 : 43,499 = 43,499 : x
  2. Step 2: Convert to fraction form
    23,410/43,499 = 43,499/x
  3. Step 3: Cross multiply
    23,410x = 43,499 × 43,499
  4. Step 4: Simplify right side
    23,410x = 1,892,163,001
  5. Step 5: Solve for x
    x = 1,892,163,001/23,410
  6. Step 6: Final answer
    x = 80,827.13

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.