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Finding the Third Proportional to 29,856.73 and 43,553.64

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Solution

The third proportional to 29,856.73 and 43,553.64 is: 63,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.73 : 43,553.64 = 43,553.64 : x
  2. Step 2: Convert to fraction form
    29,856.73/43,553.64 = 43,553.64/x
  3. Step 3: Cross multiply
    29,856.73x = 43,553.64 × 43,553.64
  4. Step 4: Simplify right side
    29,856.73x = 1,896,919,271.43
  5. Step 5: Solve for x
    x = 1,896,919,271.43/29,856.73
  6. Step 6: Final answer
    x = 63,534.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.