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Finding the Third Proportional to 12,089.25 and 22,477.50

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Solution

The third proportional to 12,089.25 and 22,477.50 is: 41,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.25 : 22,477.50 = 22,477.50 : x
  2. Step 2: Convert to fraction form
    12,089.25/22,477.50 = 22,477.50/x
  3. Step 3: Cross multiply
    12,089.25x = 22,477.50 × 22,477.50
  4. Step 4: Simplify right side
    12,089.25x = 505,238,006.25
  5. Step 5: Solve for x
    x = 505,238,006.25/12,089.25
  6. Step 6: Final answer
    x = 41,792.34

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.