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Finding the Third Proportional to 49,332 and 69,807

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Solution

The third proportional to 49,332 and 69,807 is: 98,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,332 : 69,807 = 69,807 : x
  2. Step 2: Convert to fraction form
    49,332/69,807 = 69,807/x
  3. Step 3: Cross multiply
    49,332x = 69,807 × 69,807
  4. Step 4: Simplify right side
    49,332x = 4,873,017,249
  5. Step 5: Solve for x
    x = 4,873,017,249/49,332
  6. Step 6: Final answer
    x = 98,780.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.