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Finding the Third Proportional to 29,641 and 64,201

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Solution

The third proportional to 29,641 and 64,201 is: 139,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,641 : 64,201 = 64,201 : x
  2. Step 2: Convert to fraction form
    29,641/64,201 = 64,201/x
  3. Step 3: Cross multiply
    29,641x = 64,201 × 64,201
  4. Step 4: Simplify right side
    29,641x = 4,121,768,401
  5. Step 5: Solve for x
    x = 4,121,768,401/29,641
  6. Step 6: Final answer
    x = 139,056.32

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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.