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Finding the Third Proportional to 15,477.75 and 33,922.13

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Solution

The third proportional to 15,477.75 and 33,922.13 is: 74,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.75 : 33,922.13 = 33,922.13 : x
  2. Step 2: Convert to fraction form
    15,477.75/33,922.13 = 33,922.13/x
  3. Step 3: Cross multiply
    15,477.75x = 33,922.13 × 33,922.13
  4. Step 4: Simplify right side
    15,477.75x = 1,150,710,564.52
  5. Step 5: Solve for x
    x = 1,150,710,564.52/15,477.75
  6. Step 6: Final answer
    x = 74,346.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.