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Finding the Third Proportional to 2,355.01 and 5,077.37

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Solution

The third proportional to 2,355.01 and 5,077.37 is: 10,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.01 : 5,077.37 = 5,077.37 : x
  2. Step 2: Convert to fraction form
    2,355.01/5,077.37 = 5,077.37/x
  3. Step 3: Cross multiply
    2,355.01x = 5,077.37 × 5,077.37
  4. Step 4: Simplify right side
    2,355.01x = 25,779,697.22
  5. Step 5: Solve for x
    x = 25,779,697.22/2,355.01
  6. Step 6: Final answer
    x = 10,946.74

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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.