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Finding the Third Proportional to 22,734 and 47,046

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Solution

The third proportional to 22,734 and 47,046 is: 97,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734 : 47,046 = 47,046 : x
  2. Step 2: Convert to fraction form
    22,734/47,046 = 47,046/x
  3. Step 3: Cross multiply
    22,734x = 47,046 × 47,046
  4. Step 4: Simplify right side
    22,734x = 2,213,326,116
  5. Step 5: Solve for x
    x = 2,213,326,116/22,734
  6. Step 6: Final answer
    x = 97,357.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.