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Finding the Third Proportional to 22,533.82 and 48,681.32

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Solution

The third proportional to 22,533.82 and 48,681.32 is: 105,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.82 : 48,681.32 = 48,681.32 : x
  2. Step 2: Convert to fraction form
    22,533.82/48,681.32 = 48,681.32/x
  3. Step 3: Cross multiply
    22,533.82x = 48,681.32 × 48,681.32
  4. Step 4: Simplify right side
    22,533.82x = 2,369,870,567.05
  5. Step 5: Solve for x
    x = 2,369,870,567.05/22,533.82
  6. Step 6: Final answer
    x = 105,169.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.