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Finding the Third Proportional to 21,947.84 and 46,629.42

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Solution

The third proportional to 21,947.84 and 46,629.42 is: 99,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,947.84 : 46,629.42 = 46,629.42 : x
  2. Step 2: Convert to fraction form
    21,947.84/46,629.42 = 46,629.42/x
  3. Step 3: Cross multiply
    21,947.84x = 46,629.42 × 46,629.42
  4. Step 4: Simplify right side
    21,947.84x = 2,174,302,984.40
  5. Step 5: Solve for x
    x = 2,174,302,984.40/21,947.84
  6. Step 6: Final answer
    x = 99,066.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.