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Finding the Third Proportional to 39,762 and 59,562

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Solution

The third proportional to 39,762 and 59,562 is: 89,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762 : 59,562 = 59,562 : x
  2. Step 2: Convert to fraction form
    39,762/59,562 = 59,562/x
  3. Step 3: Cross multiply
    39,762x = 59,562 × 59,562
  4. Step 4: Simplify right side
    39,762x = 3,547,631,844
  5. Step 5: Solve for x
    x = 3,547,631,844/39,762
  6. Step 6: Final answer
    x = 89,221.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.