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Finding the Third Proportional to 14,181.75 and 25,111.69

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Solution

The third proportional to 14,181.75 and 25,111.69 is: 44,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.75 : 25,111.69 = 25,111.69 : x
  2. Step 2: Convert to fraction form
    14,181.75/25,111.69 = 25,111.69/x
  3. Step 3: Cross multiply
    14,181.75x = 25,111.69 × 25,111.69
  4. Step 4: Simplify right side
    14,181.75x = 630,596,849.10
  5. Step 5: Solve for x
    x = 630,596,849.10/14,181.75
  6. Step 6: Final answer
    x = 44,465.38

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.