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Finding the Third Proportional to 25,280.65 and 54,973.48

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Solution

The third proportional to 25,280.65 and 54,973.48 is: 119,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.65 : 54,973.48 = 54,973.48 : x
  2. Step 2: Convert to fraction form
    25,280.65/54,973.48 = 54,973.48/x
  3. Step 3: Cross multiply
    25,280.65x = 54,973.48 × 54,973.48
  4. Step 4: Simplify right side
    25,280.65x = 3,022,083,125.37
  5. Step 5: Solve for x
    x = 3,022,083,125.37/25,280.65
  6. Step 6: Final answer
    x = 119,541.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.