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Finding the Third Proportional to 20,852.81 and 45,343.13

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Solution

The third proportional to 20,852.81 and 45,343.13 is: 98,595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.81 : 45,343.13 = 45,343.13 : x
  2. Step 2: Convert to fraction form
    20,852.81/45,343.13 = 45,343.13/x
  3. Step 3: Cross multiply
    20,852.81x = 45,343.13 × 45,343.13
  4. Step 4: Simplify right side
    20,852.81x = 2,055,998,984.77
  5. Step 5: Solve for x
    x = 2,055,998,984.77/20,852.81
  6. Step 6: Final answer
    x = 98,595.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.