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Finding the Third Proportional to 23,534 and 48,700

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Solution

The third proportional to 23,534 and 48,700 is: 100,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534 : 48,700 = 48,700 : x
  2. Step 2: Convert to fraction form
    23,534/48,700 = 48,700/x
  3. Step 3: Cross multiply
    23,534x = 48,700 × 48,700
  4. Step 4: Simplify right side
    23,534x = 2,371,690,000
  5. Step 5: Solve for x
    x = 2,371,690,000/23,534
  6. Step 6: Final answer
    x = 100,777.17

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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.