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Finding the Third Proportional to 52,346 and 69,661

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Solution

The third proportional to 52,346 and 69,661 is: 92,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,346 : 69,661 = 69,661 : x
  2. Step 2: Convert to fraction form
    52,346/69,661 = 69,661/x
  3. Step 3: Cross multiply
    52,346x = 69,661 × 69,661
  4. Step 4: Simplify right side
    52,346x = 4,852,654,921
  5. Step 5: Solve for x
    x = 4,852,654,921/52,346
  6. Step 6: Final answer
    x = 92,703.45

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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.