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Finding the Third Proportional to 35,473.50 and 53,215.31

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Solution

The third proportional to 35,473.50 and 53,215.31 is: 79,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.50 : 53,215.31 = 53,215.31 : x
  2. Step 2: Convert to fraction form
    35,473.50/53,215.31 = 53,215.31/x
  3. Step 3: Cross multiply
    35,473.50x = 53,215.31 × 53,215.31
  4. Step 4: Simplify right side
    35,473.50x = 2,831,869,484.47
  5. Step 5: Solve for x
    x = 2,831,869,484.47/35,473.50
  6. Step 6: Final answer
    x = 79,830.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.