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Finding the Third Proportional to 14,856.75 and 32,379

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Solution

The third proportional to 14,856.75 and 32,379 is: 70,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.75 : 32,379 = 32,379 : x
  2. Step 2: Convert to fraction form
    14,856.75/32,379 = 32,379/x
  3. Step 3: Cross multiply
    14,856.75x = 32,379 × 32,379
  4. Step 4: Simplify right side
    14,856.75x = 1,048,399,641
  5. Step 5: Solve for x
    x = 1,048,399,641/14,856.75
  6. Step 6: Final answer
    x = 70,567.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.