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Finding the Third Proportional to 22,646.25 and 53,285.25

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Solution

The third proportional to 22,646.25 and 53,285.25 is: 125,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.25 : 53,285.25 = 53,285.25 : x
  2. Step 2: Convert to fraction form
    22,646.25/53,285.25 = 53,285.25/x
  3. Step 3: Cross multiply
    22,646.25x = 53,285.25 × 53,285.25
  4. Step 4: Simplify right side
    22,646.25x = 2,839,317,867.56
  5. Step 5: Solve for x
    x = 2,839,317,867.56/22,646.25
  6. Step 6: Final answer
    x = 125,376.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.