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Finding the Third Proportional to 2,477.14 and 5,159.00

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Solution

The third proportional to 2,477.14 and 5,159.00 is: 10,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.14 : 5,159.00 = 5,159.00 : x
  2. Step 2: Convert to fraction form
    2,477.14/5,159.00 = 5,159.00/x
  3. Step 3: Cross multiply
    2,477.14x = 5,159.00 × 5,159.00
  4. Step 4: Simplify right side
    2,477.14x = 26,615,321.30
  5. Step 5: Solve for x
    x = 26,615,321.30/2,477.14
  6. Step 6: Final answer
    x = 10,744.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.