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Finding the Third Proportional to 29,737.13 and 43,783.88

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Solution

The third proportional to 29,737.13 and 43,783.88 is: 64,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,737.13 : 43,783.88 = 43,783.88 : x
  2. Step 2: Convert to fraction form
    29,737.13/43,783.88 = 43,783.88/x
  3. Step 3: Cross multiply
    29,737.13x = 43,783.88 × 43,783.88
  4. Step 4: Simplify right side
    29,737.13x = 1,917,027,710.02
  5. Step 5: Solve for x
    x = 1,917,027,710.02/29,737.13
  6. Step 6: Final answer
    x = 64,465.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.