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Finding the Third Proportional to 4,869.49 and 10,665.90

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Solution

The third proportional to 4,869.49 and 10,665.90 is: 23,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.49 : 10,665.90 = 10,665.90 : x
  2. Step 2: Convert to fraction form
    4,869.49/10,665.90 = 10,665.90/x
  3. Step 3: Cross multiply
    4,869.49x = 10,665.90 × 10,665.90
  4. Step 4: Simplify right side
    4,869.49x = 113,761,347.82
  5. Step 5: Solve for x
    x = 113,761,347.82/4,869.49
  6. Step 6: Final answer
    x = 23,362.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.