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Finding the Third Proportional to 7,947 and 18,473.63

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Solution

The third proportional to 7,947 and 18,473.63 is: 42,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947 : 18,473.63 = 18,473.63 : x
  2. Step 2: Convert to fraction form
    7,947/18,473.63 = 18,473.63/x
  3. Step 3: Cross multiply
    7,947x = 18,473.63 × 18,473.63
  4. Step 4: Simplify right side
    7,947x = 341,274,820.64
  5. Step 5: Solve for x
    x = 341,274,820.64/7,947
  6. Step 6: Final answer
    x = 42,943.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.