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Finding the Third Proportional to 9,996.19 and 15,071.63

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Solution

The third proportional to 9,996.19 and 15,071.63 is: 22,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.19 : 15,071.63 = 15,071.63 : x
  2. Step 2: Convert to fraction form
    9,996.19/15,071.63 = 15,071.63/x
  3. Step 3: Cross multiply
    9,996.19x = 15,071.63 × 15,071.63
  4. Step 4: Simplify right side
    9,996.19x = 227,153,880.14
  5. Step 5: Solve for x
    x = 227,153,880.14/9,996.19
  6. Step 6: Final answer
    x = 22,724.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.