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Finding the Third Proportional to 29,415 and 64,014

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Solution

The third proportional to 29,415 and 64,014 is: 139,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,415 : 64,014 = 64,014 : x
  2. Step 2: Convert to fraction form
    29,415/64,014 = 64,014/x
  3. Step 3: Cross multiply
    29,415x = 64,014 × 64,014
  4. Step 4: Simplify right side
    29,415x = 4,097,792,196
  5. Step 5: Solve for x
    x = 4,097,792,196/29,415
  6. Step 6: Final answer
    x = 139,309.61

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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.