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Finding the Third Proportional to 5,152.63 and 11,034.25

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Solution

The third proportional to 5,152.63 and 11,034.25 is: 23,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.63 : 11,034.25 = 11,034.25 : x
  2. Step 2: Convert to fraction form
    5,152.63/11,034.25 = 11,034.25/x
  3. Step 3: Cross multiply
    5,152.63x = 11,034.25 × 11,034.25
  4. Step 4: Simplify right side
    5,152.63x = 121,754,673.06
  5. Step 5: Solve for x
    x = 121,754,673.06/5,152.63
  6. Step 6: Final answer
    x = 23,629.64

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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.