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Finding the Third Proportional to 29,391 and 64,249.50

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Solution

The third proportional to 29,391 and 64,249.50 is: 140,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,391 : 64,249.50 = 64,249.50 : x
  2. Step 2: Convert to fraction form
    29,391/64,249.50 = 64,249.50/x
  3. Step 3: Cross multiply
    29,391x = 64,249.50 × 64,249.50
  4. Step 4: Simplify right side
    29,391x = 4,127,998,250.25
  5. Step 5: Solve for x
    x = 4,127,998,250.25/29,391
  6. Step 6: Final answer
    x = 140,451.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.