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Finding the Third Proportional to 33,261 and 39,411.75

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Solution

The third proportional to 33,261 and 39,411.75 is: 46,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261 : 39,411.75 = 39,411.75 : x
  2. Step 2: Convert to fraction form
    33,261/39,411.75 = 39,411.75/x
  3. Step 3: Cross multiply
    33,261x = 39,411.75 × 39,411.75
  4. Step 4: Simplify right side
    33,261x = 1,553,286,038.06
  5. Step 5: Solve for x
    x = 1,553,286,038.06/33,261
  6. Step 6: Final answer
    x = 46,699.92

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.