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Finding the Third Proportional to 29,817 and 64,810.50

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Solution

The third proportional to 29,817 and 64,810.50 is: 140,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 64,810.50 = 64,810.50 : x
  2. Step 2: Convert to fraction form
    29,817/64,810.50 = 64,810.50/x
  3. Step 3: Cross multiply
    29,817x = 64,810.50 × 64,810.50
  4. Step 4: Simplify right side
    29,817x = 4,200,400,910.25
  5. Step 5: Solve for x
    x = 4,200,400,910.25/29,817
  6. Step 6: Final answer
    x = 140,872.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.