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Finding the Third Proportional to 12,289.50 and 23,607

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Solution

The third proportional to 12,289.50 and 23,607 is: 45,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.50 : 23,607 = 23,607 : x
  2. Step 2: Convert to fraction form
    12,289.50/23,607 = 23,607/x
  3. Step 3: Cross multiply
    12,289.50x = 23,607 × 23,607
  4. Step 4: Simplify right side
    12,289.50x = 557,290,449
  5. Step 5: Solve for x
    x = 557,290,449/12,289.50
  6. Step 6: Final answer
    x = 45,346.88

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.