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Finding the Third Proportional to 9,557.30 and 22,486.36

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Solution

The third proportional to 9,557.30 and 22,486.36 is: 52,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.30 : 22,486.36 = 22,486.36 : x
  2. Step 2: Convert to fraction form
    9,557.30/22,486.36 = 22,486.36/x
  3. Step 3: Cross multiply
    9,557.30x = 22,486.36 × 22,486.36
  4. Step 4: Simplify right side
    9,557.30x = 505,636,357.94
  5. Step 5: Solve for x
    x = 505,636,357.94/9,557.30
  6. Step 6: Final answer
    x = 52,905.79

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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.