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Finding the Third Proportional to 29,391 and 64,011

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Solution

The third proportional to 29,391 and 64,011 is: 139,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,391 : 64,011 = 64,011 : x
  2. Step 2: Convert to fraction form
    29,391/64,011 = 64,011/x
  3. Step 3: Cross multiply
    29,391x = 64,011 × 64,011
  4. Step 4: Simplify right side
    29,391x = 4,097,408,121
  5. Step 5: Solve for x
    x = 4,097,408,121/29,391
  6. Step 6: Final answer
    x = 139,410.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.