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Finding the Third Proportional to 9,376.59 and 14,038.31

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Solution

The third proportional to 9,376.59 and 14,038.31 is: 21,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.59 : 14,038.31 = 14,038.31 : x
  2. Step 2: Convert to fraction form
    9,376.59/14,038.31 = 14,038.31/x
  3. Step 3: Cross multiply
    9,376.59x = 14,038.31 × 14,038.31
  4. Step 4: Simplify right side
    9,376.59x = 197,074,217.85
  5. Step 5: Solve for x
    x = 197,074,217.85/9,376.59
  6. Step 6: Final answer
    x = 21,017.68

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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.