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Finding the Third Proportional to 10,712.88 and 23,066.02

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Solution

The third proportional to 10,712.88 and 23,066.02 is: 49,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.88 : 23,066.02 = 23,066.02 : x
  2. Step 2: Convert to fraction form
    10,712.88/23,066.02 = 23,066.02/x
  3. Step 3: Cross multiply
    10,712.88x = 23,066.02 × 23,066.02
  4. Step 4: Simplify right side
    10,712.88x = 532,041,076.81
  5. Step 5: Solve for x
    x = 532,041,076.81/10,712.88
  6. Step 6: Final answer
    x = 49,663.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.