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Finding the Third Proportional to 52,344 and 69,658

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Solution

The third proportional to 52,344 and 69,658 is: 92,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,344 : 69,658 = 69,658 : x
  2. Step 2: Convert to fraction form
    52,344/69,658 = 69,658/x
  3. Step 3: Cross multiply
    52,344x = 69,658 × 69,658
  4. Step 4: Simplify right side
    52,344x = 4,852,236,964
  5. Step 5: Solve for x
    x = 4,852,236,964/52,344
  6. Step 6: Final answer
    x = 92,699.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.