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Finding the Third Proportional to 25,045.50 and 54,784.50

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Solution

The third proportional to 25,045.50 and 54,784.50 is: 119,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,045.50 : 54,784.50 = 54,784.50 : x
  2. Step 2: Convert to fraction form
    25,045.50/54,784.50 = 54,784.50/x
  3. Step 3: Cross multiply
    25,045.50x = 54,784.50 × 54,784.50
  4. Step 4: Simplify right side
    25,045.50x = 3,001,341,440.25
  5. Step 5: Solve for x
    x = 3,001,341,440.25/25,045.50
  6. Step 6: Final answer
    x = 119,835.56

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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.