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Finding the Third Proportional to 30,103 and 47,705.75

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Solution

The third proportional to 30,103 and 47,705.75 is: 75,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103 : 47,705.75 = 47,705.75 : x
  2. Step 2: Convert to fraction form
    30,103/47,705.75 = 47,705.75/x
  3. Step 3: Cross multiply
    30,103x = 47,705.75 × 47,705.75
  4. Step 4: Simplify right side
    30,103x = 2,275,838,583.06
  5. Step 5: Solve for x
    x = 2,275,838,583.06/30,103
  6. Step 6: Final answer
    x = 75,601.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.