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Finding the Third Proportional to 12,200.63 and 22,386.38

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Solution

The third proportional to 12,200.63 and 22,386.38 is: 41,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.63 : 22,386.38 = 22,386.38 : x
  2. Step 2: Convert to fraction form
    12,200.63/22,386.38 = 22,386.38/x
  3. Step 3: Cross multiply
    12,200.63x = 22,386.38 × 22,386.38
  4. Step 4: Simplify right side
    12,200.63x = 501,149,785.64
  5. Step 5: Solve for x
    x = 501,149,785.64/12,200.63
  6. Step 6: Final answer
    x = 41,075.75

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.