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Finding the Third Proportional to 25,762 and 39,184

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Solution

The third proportional to 25,762 and 39,184 is: 59,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762 : 39,184 = 39,184 : x
  2. Step 2: Convert to fraction form
    25,762/39,184 = 39,184/x
  3. Step 3: Cross multiply
    25,762x = 39,184 × 39,184
  4. Step 4: Simplify right side
    25,762x = 1,535,385,856
  5. Step 5: Solve for x
    x = 1,535,385,856/25,762
  6. Step 6: Final answer
    x = 59,598.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.