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Finding the Third Proportional to 26,388 and 57,783

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Solution

The third proportional to 26,388 and 57,783 is: 126,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,388 : 57,783 = 57,783 : x
  2. Step 2: Convert to fraction form
    26,388/57,783 = 57,783/x
  3. Step 3: Cross multiply
    26,388x = 57,783 × 57,783
  4. Step 4: Simplify right side
    26,388x = 3,338,875,089
  5. Step 5: Solve for x
    x = 3,338,875,089/26,388
  6. Step 6: Final answer
    x = 126,530.05

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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.