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Finding the Third Proportional to 10,210.13 and 20,852.25

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Solution

The third proportional to 10,210.13 and 20,852.25 is: 42,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.13 : 20,852.25 = 20,852.25 : x
  2. Step 2: Convert to fraction form
    10,210.13/20,852.25 = 20,852.25/x
  3. Step 3: Cross multiply
    10,210.13x = 20,852.25 × 20,852.25
  4. Step 4: Simplify right side
    10,210.13x = 434,816,330.06
  5. Step 5: Solve for x
    x = 434,816,330.06/10,210.13
  6. Step 6: Final answer
    x = 42,586.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.