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Finding the Third Proportional to 20,703.50 and 42,926

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Solution

The third proportional to 20,703.50 and 42,926 is: 89,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.50 : 42,926 = 42,926 : x
  2. Step 2: Convert to fraction form
    20,703.50/42,926 = 42,926/x
  3. Step 3: Cross multiply
    20,703.50x = 42,926 × 42,926
  4. Step 4: Simplify right side
    20,703.50x = 1,842,641,476
  5. Step 5: Solve for x
    x = 1,842,641,476/20,703.50
  6. Step 6: Final answer
    x = 89,001.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.