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Finding the Third Proportional to 23,214 and 47,657

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Solution

The third proportional to 23,214 and 47,657 is: 97,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 47,657 = 47,657 : x
  2. Step 2: Convert to fraction form
    23,214/47,657 = 47,657/x
  3. Step 3: Cross multiply
    23,214x = 47,657 × 47,657
  4. Step 4: Simplify right side
    23,214x = 2,271,189,649
  5. Step 5: Solve for x
    x = 2,271,189,649/23,214
  6. Step 6: Final answer
    x = 97,837.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.