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Finding the Third Proportional to 9,669.38 and 21,191.63

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Solution

The third proportional to 9,669.38 and 21,191.63 is: 46,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.38 : 21,191.63 = 21,191.63 : x
  2. Step 2: Convert to fraction form
    9,669.38/21,191.63 = 21,191.63/x
  3. Step 3: Cross multiply
    9,669.38x = 21,191.63 × 21,191.63
  4. Step 4: Simplify right side
    9,669.38x = 449,084,970.14
  5. Step 5: Solve for x
    x = 449,084,970.14/9,669.38
  6. Step 6: Final answer
    x = 46,444.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.