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Finding the Third Proportional to 5,036.63 and 10,969.13

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Solution

The third proportional to 5,036.63 and 10,969.13 is: 23,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.63 : 10,969.13 = 10,969.13 : x
  2. Step 2: Convert to fraction form
    5,036.63/10,969.13 = 10,969.13/x
  3. Step 3: Cross multiply
    5,036.63x = 10,969.13 × 10,969.13
  4. Step 4: Simplify right side
    5,036.63x = 120,321,703.27
  5. Step 5: Solve for x
    x = 120,321,703.27/5,036.63
  6. Step 6: Final answer
    x = 23,889.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.