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Finding the Third Proportional to 29,835 and 65,501

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Solution

The third proportional to 29,835 and 65,501 is: 143,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835 : 65,501 = 65,501 : x
  2. Step 2: Convert to fraction form
    29,835/65,501 = 65,501/x
  3. Step 3: Cross multiply
    29,835x = 65,501 × 65,501
  4. Step 4: Simplify right side
    29,835x = 4,290,381,001
  5. Step 5: Solve for x
    x = 4,290,381,001/29,835
  6. Step 6: Final answer
    x = 143,803.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.