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Finding the Third Proportional to 33,464.81 and 49,271.63

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Solution

The third proportional to 33,464.81 and 49,271.63 is: 72,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464.81 : 49,271.63 = 49,271.63 : x
  2. Step 2: Convert to fraction form
    33,464.81/49,271.63 = 49,271.63/x
  3. Step 3: Cross multiply
    33,464.81x = 49,271.63 × 49,271.63
  4. Step 4: Simplify right side
    33,464.81x = 2,427,693,030.14
  5. Step 5: Solve for x
    x = 2,427,693,030.14/33,464.81
  6. Step 6: Final answer
    x = 72,544.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.