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Finding the Third Proportional to 2,314.83 and 5,130.05

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Solution

The third proportional to 2,314.83 and 5,130.05 is: 11,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.83 : 5,130.05 = 5,130.05 : x
  2. Step 2: Convert to fraction form
    2,314.83/5,130.05 = 5,130.05/x
  3. Step 3: Cross multiply
    2,314.83x = 5,130.05 × 5,130.05
  4. Step 4: Simplify right side
    2,314.83x = 26,317,441.06
  5. Step 5: Solve for x
    x = 26,317,441.06/2,314.83
  6. Step 6: Final answer
    x = 11,369.07

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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.