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Finding the Third Proportional to 23,812.31 and 35,007.19

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Solution

The third proportional to 23,812.31 and 35,007.19 is: 51,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.31 : 35,007.19 = 35,007.19 : x
  2. Step 2: Convert to fraction form
    23,812.31/35,007.19 = 35,007.19/x
  3. Step 3: Cross multiply
    23,812.31x = 35,007.19 × 35,007.19
  4. Step 4: Simplify right side
    23,812.31x = 1,225,503,176.66
  5. Step 5: Solve for x
    x = 1,225,503,176.66/23,812.31
  6. Step 6: Final answer
    x = 51,465.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.