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Finding the Third Proportional to 23,496 and 34,306.50

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Solution

The third proportional to 23,496 and 34,306.50 is: 50,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496 : 34,306.50 = 34,306.50 : x
  2. Step 2: Convert to fraction form
    23,496/34,306.50 = 34,306.50/x
  3. Step 3: Cross multiply
    23,496x = 34,306.50 × 34,306.50
  4. Step 4: Simplify right side
    23,496x = 1,176,935,942.25
  5. Step 5: Solve for x
    x = 1,176,935,942.25/23,496
  6. Step 6: Final answer
    x = 50,090.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.