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Finding the Third Proportional to 22,978.69 and 48,529.13

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Solution

The third proportional to 22,978.69 and 48,529.13 is: 102,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.69 : 48,529.13 = 48,529.13 : x
  2. Step 2: Convert to fraction form
    22,978.69/48,529.13 = 48,529.13/x
  3. Step 3: Cross multiply
    22,978.69x = 48,529.13 × 48,529.13
  4. Step 4: Simplify right side
    22,978.69x = 2,355,075,973.27
  5. Step 5: Solve for x
    x = 2,355,075,973.27/22,978.69
  6. Step 6: Final answer
    x = 102,489.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.