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Finding the Third Proportional to 22,816.69 and 48,784.78

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Solution

The third proportional to 22,816.69 and 48,784.78 is: 104,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.69 : 48,784.78 = 48,784.78 : x
  2. Step 2: Convert to fraction form
    22,816.69/48,784.78 = 48,784.78/x
  3. Step 3: Cross multiply
    22,816.69x = 48,784.78 × 48,784.78
  4. Step 4: Simplify right side
    22,816.69x = 2,379,954,881.61
  5. Step 5: Solve for x
    x = 2,379,954,881.61/22,816.69
  6. Step 6: Final answer
    x = 104,307.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.