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Finding the Third Proportional to 47,548 and 73,922

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Solution

The third proportional to 47,548 and 73,922 is: 114,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548 : 73,922 = 73,922 : x
  2. Step 2: Convert to fraction form
    47,548/73,922 = 73,922/x
  3. Step 3: Cross multiply
    47,548x = 73,922 × 73,922
  4. Step 4: Simplify right side
    47,548x = 5,464,462,084
  5. Step 5: Solve for x
    x = 5,464,462,084/47,548
  6. Step 6: Final answer
    x = 114,925.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.