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Finding the Third Proportional to 33,696.75 and 53,641.13

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Solution

The third proportional to 33,696.75 and 53,641.13 is: 85,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,696.75 : 53,641.13 = 53,641.13 : x
  2. Step 2: Convert to fraction form
    33,696.75/53,641.13 = 53,641.13/x
  3. Step 3: Cross multiply
    33,696.75x = 53,641.13 × 53,641.13
  4. Step 4: Simplify right side
    33,696.75x = 2,877,370,291.27
  5. Step 5: Solve for x
    x = 2,877,370,291.27/33,696.75
  6. Step 6: Final answer
    x = 85,390.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.