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Finding the Third Proportional to 10,617 and 14,849.50

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Solution

The third proportional to 10,617 and 14,849.50 is: 20,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617 : 14,849.50 = 14,849.50 : x
  2. Step 2: Convert to fraction form
    10,617/14,849.50 = 14,849.50/x
  3. Step 3: Cross multiply
    10,617x = 14,849.50 × 14,849.50
  4. Step 4: Simplify right side
    10,617x = 220,507,650.25
  5. Step 5: Solve for x
    x = 220,507,650.25/10,617
  6. Step 6: Final answer
    x = 20,769.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.