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Finding the Third Proportional to 49,582 and 69,351

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Solution

The third proportional to 49,582 and 69,351 is: 97,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,582 : 69,351 = 69,351 : x
  2. Step 2: Convert to fraction form
    49,582/69,351 = 69,351/x
  3. Step 3: Cross multiply
    49,582x = 69,351 × 69,351
  4. Step 4: Simplify right side
    49,582x = 4,809,561,201
  5. Step 5: Solve for x
    x = 4,809,561,201/49,582
  6. Step 6: Final answer
    x = 97,002.16

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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.