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Finding the Third Proportional to 10,044 and 11,866.50

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Solution

The third proportional to 10,044 and 11,866.50 is: 14,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 11,866.50 = 11,866.50 : x
  2. Step 2: Convert to fraction form
    10,044/11,866.50 = 11,866.50/x
  3. Step 3: Cross multiply
    10,044x = 11,866.50 × 11,866.50
  4. Step 4: Simplify right side
    10,044x = 140,813,822.25
  5. Step 5: Solve for x
    x = 140,813,822.25/10,044
  6. Step 6: Final answer
    x = 14,019.70

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.