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Finding the Third Proportional to 29,407 and 64,101

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Solution

The third proportional to 29,407 and 64,101 is: 139,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407 : 64,101 = 64,101 : x
  2. Step 2: Convert to fraction form
    29,407/64,101 = 64,101/x
  3. Step 3: Cross multiply
    29,407x = 64,101 × 64,101
  4. Step 4: Simplify right side
    29,407x = 4,108,938,201
  5. Step 5: Solve for x
    x = 4,108,938,201/29,407
  6. Step 6: Final answer
    x = 139,726.53

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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.