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Finding the Third Proportional to 9,932.63 and 14,363.58

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Solution

The third proportional to 9,932.63 and 14,363.58 is: 20,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.63 : 14,363.58 = 14,363.58 : x
  2. Step 2: Convert to fraction form
    9,932.63/14,363.58 = 14,363.58/x
  3. Step 3: Cross multiply
    9,932.63x = 14,363.58 × 14,363.58
  4. Step 4: Simplify right side
    9,932.63x = 206,312,376.55
  5. Step 5: Solve for x
    x = 206,312,376.55/9,932.63
  6. Step 6: Final answer
    x = 20,771.18

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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.