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Finding the Third Proportional to 55,563.47 and 85,953.66

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Solution

The third proportional to 55,563.47 and 85,953.66 is: 132,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,563.47 : 85,953.66 = 85,953.66 : x
  2. Step 2: Convert to fraction form
    55,563.47/85,953.66 = 85,953.66/x
  3. Step 3: Cross multiply
    55,563.47x = 85,953.66 × 85,953.66
  4. Step 4: Simplify right side
    55,563.47x = 7,388,031,022.74
  5. Step 5: Solve for x
    x = 7,388,031,022.74/55,563.47
  6. Step 6: Final answer
    x = 132,965.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.