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Finding the Third Proportional to 11,307.94 and 24,804.56

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Solution

The third proportional to 11,307.94 and 24,804.56 is: 54,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.94 : 24,804.56 = 24,804.56 : x
  2. Step 2: Convert to fraction form
    11,307.94/24,804.56 = 24,804.56/x
  3. Step 3: Cross multiply
    11,307.94x = 24,804.56 × 24,804.56
  4. Step 4: Simplify right side
    11,307.94x = 615,266,320.82
  5. Step 5: Solve for x
    x = 615,266,320.82/11,307.94
  6. Step 6: Final answer
    x = 54,410.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.