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Finding the Third Proportional to 29,835 and 65,988

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Solution

The third proportional to 29,835 and 65,988 is: 145,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 65,988 = 65,988 : x
  2. Step 2: Convert to fraction form
    29,835/65,988 = 65,988/x
  3. Step 3: Cross multiply
    29,835x = 65,988 × 65,988
  4. Step 4: Simplify right side
    29,835x = 4,354,416,144
  5. Step 5: Solve for x
    x = 4,354,416,144/29,835
  6. Step 6: Final answer
    x = 145,949.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.