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Finding the Third Proportional to 25,565.63 and 54,774

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Solution

The third proportional to 25,565.63 and 54,774 is: 117,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.63 : 54,774 = 54,774 : x
  2. Step 2: Convert to fraction form
    25,565.63/54,774 = 54,774/x
  3. Step 3: Cross multiply
    25,565.63x = 54,774 × 54,774
  4. Step 4: Simplify right side
    25,565.63x = 3,000,191,076
  5. Step 5: Solve for x
    x = 3,000,191,076/25,565.63
  6. Step 6: Final answer
    x = 117,352.54

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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.