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Finding the Third Proportional to 30,894.75 and 45,177.75

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Solution

The third proportional to 30,894.75 and 45,177.75 is: 66,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.75 : 45,177.75 = 45,177.75 : x
  2. Step 2: Convert to fraction form
    30,894.75/45,177.75 = 45,177.75/x
  3. Step 3: Cross multiply
    30,894.75x = 45,177.75 × 45,177.75
  4. Step 4: Simplify right side
    30,894.75x = 2,041,029,095.06
  5. Step 5: Solve for x
    x = 2,041,029,095.06/30,894.75
  6. Step 6: Final answer
    x = 66,063.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.