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Finding the Third Proportional to 23,343.19 and 31,047.05

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Solution

The third proportional to 23,343.19 and 31,047.05 is: 41,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343.19 : 31,047.05 = 31,047.05 : x
  2. Step 2: Convert to fraction form
    23,343.19/31,047.05 = 31,047.05/x
  3. Step 3: Cross multiply
    23,343.19x = 31,047.05 × 31,047.05
  4. Step 4: Simplify right side
    23,343.19x = 963,919,119.66
  5. Step 5: Solve for x
    x = 963,919,119.66/23,343.19
  6. Step 6: Final answer
    x = 41,293.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.