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Finding the Third Proportional to 29,565 and 43,485

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Solution

The third proportional to 29,565 and 43,485 is: 63,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565 : 43,485 = 43,485 : x
  2. Step 2: Convert to fraction form
    29,565/43,485 = 43,485/x
  3. Step 3: Cross multiply
    29,565x = 43,485 × 43,485
  4. Step 4: Simplify right side
    29,565x = 1,890,945,225
  5. Step 5: Solve for x
    x = 1,890,945,225/29,565
  6. Step 6: Final answer
    x = 63,958.91

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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.