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Finding the Third Proportional to 24,999.19 and 35,159.81

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Solution

The third proportional to 24,999.19 and 35,159.81 is: 49,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,999.19 : 35,159.81 = 35,159.81 : x
  2. Step 2: Convert to fraction form
    24,999.19/35,159.81 = 35,159.81/x
  3. Step 3: Cross multiply
    24,999.19x = 35,159.81 × 35,159.81
  4. Step 4: Simplify right side
    24,999.19x = 1,236,212,415.04
  5. Step 5: Solve for x
    x = 1,236,212,415.04/24,999.19
  6. Step 6: Final answer
    x = 49,450.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.