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Finding the Third Proportional to 9,790.88 and 14,362.31

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Solution

The third proportional to 9,790.88 and 14,362.31 is: 21,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.88 : 14,362.31 = 14,362.31 : x
  2. Step 2: Convert to fraction form
    9,790.88/14,362.31 = 14,362.31/x
  3. Step 3: Cross multiply
    9,790.88x = 14,362.31 × 14,362.31
  4. Step 4: Simplify right side
    9,790.88x = 206,276,020.35
  5. Step 5: Solve for x
    x = 206,276,020.35/9,790.88
  6. Step 6: Final answer
    x = 21,068.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.