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Finding the Third Proportional to 33,265.50 and 39,417

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Solution

The third proportional to 33,265.50 and 39,417 is: 46,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265.50 : 39,417 = 39,417 : x
  2. Step 2: Convert to fraction form
    33,265.50/39,417 = 39,417/x
  3. Step 3: Cross multiply
    33,265.50x = 39,417 × 39,417
  4. Step 4: Simplify right side
    33,265.50x = 1,553,699,889
  5. Step 5: Solve for x
    x = 1,553,699,889/33,265.50
  6. Step 6: Final answer
    x = 46,706.04

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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.