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Finding the Third Proportional to 29,353.64 and 41,963.06

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Solution

The third proportional to 29,353.64 and 41,963.06 is: 59,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,353.64 : 41,963.06 = 41,963.06 : x
  2. Step 2: Convert to fraction form
    29,353.64/41,963.06 = 41,963.06/x
  3. Step 3: Cross multiply
    29,353.64x = 41,963.06 × 41,963.06
  4. Step 4: Simplify right side
    29,353.64x = 1,760,898,614.38
  5. Step 5: Solve for x
    x = 1,760,898,614.38/29,353.64
  6. Step 6: Final answer
    x = 59,989.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.