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Finding the Third Proportional to 15,334.63 and 33,085.97

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Solution

The third proportional to 15,334.63 and 33,085.97 is: 71,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334.63 : 33,085.97 = 33,085.97 : x
  2. Step 2: Convert to fraction form
    15,334.63/33,085.97 = 33,085.97/x
  3. Step 3: Cross multiply
    15,334.63x = 33,085.97 × 33,085.97
  4. Step 4: Simplify right side
    15,334.63x = 1,094,681,328.13
  5. Step 5: Solve for x
    x = 1,094,681,328.13/15,334.63
  6. Step 6: Final answer
    x = 71,386.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.