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Finding the Third Proportional to 29,850.19 and 40,564.13

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Solution

The third proportional to 29,850.19 and 40,564.13 is: 55,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850.19 : 40,564.13 = 40,564.13 : x
  2. Step 2: Convert to fraction form
    29,850.19/40,564.13 = 40,564.13/x
  3. Step 3: Cross multiply
    29,850.19x = 40,564.13 × 40,564.13
  4. Step 4: Simplify right side
    29,850.19x = 1,645,448,237.02
  5. Step 5: Solve for x
    x = 1,645,448,237.02/29,850.19
  6. Step 6: Final answer
    x = 55,123.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.