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Finding the Third Proportional to 23,833.41 and 34,953.19

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Solution

The third proportional to 23,833.41 and 34,953.19 is: 51,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.41 : 34,953.19 = 34,953.19 : x
  2. Step 2: Convert to fraction form
    23,833.41/34,953.19 = 34,953.19/x
  3. Step 3: Cross multiply
    23,833.41x = 34,953.19 × 34,953.19
  4. Step 4: Simplify right side
    23,833.41x = 1,221,725,316.41
  5. Step 5: Solve for x
    x = 1,221,725,316.41/23,833.41
  6. Step 6: Final answer
    x = 51,261.05

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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.