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Finding the Third Proportional to 32,354 and 46,755

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Solution

The third proportional to 32,354 and 46,755 is: 67,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354 : 46,755 = 46,755 : x
  2. Step 2: Convert to fraction form
    32,354/46,755 = 46,755/x
  3. Step 3: Cross multiply
    32,354x = 46,755 × 46,755
  4. Step 4: Simplify right side
    32,354x = 2,186,030,025
  5. Step 5: Solve for x
    x = 2,186,030,025/32,354
  6. Step 6: Final answer
    x = 67,565.99

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.