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Finding the Third Proportional to 2,317.99 and 5,154.26

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Solution

The third proportional to 2,317.99 and 5,154.26 is: 11,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.99 : 5,154.26 = 5,154.26 : x
  2. Step 2: Convert to fraction form
    2,317.99/5,154.26 = 5,154.26/x
  3. Step 3: Cross multiply
    2,317.99x = 5,154.26 × 5,154.26
  4. Step 4: Simplify right side
    2,317.99x = 26,566,373.60
  5. Step 5: Solve for x
    x = 26,566,373.60/2,317.99
  6. Step 6: Final answer
    x = 11,460.94

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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.