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Finding the Third Proportional to 22,015.13 and 31,368.94

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Solution

The third proportional to 22,015.13 and 31,368.94 is: 44,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015.13 : 31,368.94 = 31,368.94 : x
  2. Step 2: Convert to fraction form
    22,015.13/31,368.94 = 31,368.94/x
  3. Step 3: Cross multiply
    22,015.13x = 31,368.94 × 31,368.94
  4. Step 4: Simplify right side
    22,015.13x = 984,010,239.88
  5. Step 5: Solve for x
    x = 984,010,239.88/22,015.13
  6. Step 6: Final answer
    x = 44,697.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.