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Finding the Third Proportional to 5,150.53 and 11,030.06

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Solution

The third proportional to 5,150.53 and 11,030.06 is: 23,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.53 : 11,030.06 = 11,030.06 : x
  2. Step 2: Convert to fraction form
    5,150.53/11,030.06 = 11,030.06/x
  3. Step 3: Cross multiply
    5,150.53x = 11,030.06 × 11,030.06
  4. Step 4: Simplify right side
    5,150.53x = 121,662,278.75
  5. Step 5: Solve for x
    x = 121,662,278.75/5,150.53
  6. Step 6: Final answer
    x = 23,621.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.