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Finding the Third Proportional to 12,881.50 and 28,223.50

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Solution

The third proportional to 12,881.50 and 28,223.50 is: 61,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.50 : 28,223.50 = 28,223.50 : x
  2. Step 2: Convert to fraction form
    12,881.50/28,223.50 = 28,223.50/x
  3. Step 3: Cross multiply
    12,881.50x = 28,223.50 × 28,223.50
  4. Step 4: Simplify right side
    12,881.50x = 796,565,952.25
  5. Step 5: Solve for x
    x = 796,565,952.25/12,881.50
  6. Step 6: Final answer
    x = 61,837.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.