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Finding the Third Proportional to 47,324 and 70,662

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Solution

The third proportional to 47,324 and 70,662 is: 105,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324 : 70,662 = 70,662 : x
  2. Step 2: Convert to fraction form
    47,324/70,662 = 70,662/x
  3. Step 3: Cross multiply
    47,324x = 70,662 × 70,662
  4. Step 4: Simplify right side
    47,324x = 4,993,118,244
  5. Step 5: Solve for x
    x = 4,993,118,244/47,324
  6. Step 6: Final answer
    x = 105,509.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.