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Finding the Third Proportional to 23,477.77 and 52,204.08

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Solution

The third proportional to 23,477.77 and 52,204.08 is: 116,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.77 : 52,204.08 = 52,204.08 : x
  2. Step 2: Convert to fraction form
    23,477.77/52,204.08 = 52,204.08/x
  3. Step 3: Cross multiply
    23,477.77x = 52,204.08 × 52,204.08
  4. Step 4: Simplify right side
    23,477.77x = 2,725,265,772.88
  5. Step 5: Solve for x
    x = 2,725,265,772.88/23,477.77
  6. Step 6: Final answer
    x = 116,078.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.