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Finding the Third Proportional to 29,314 and 64,602

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Solution

The third proportional to 29,314 and 64,602 is: 142,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314 : 64,602 = 64,602 : x
  2. Step 2: Convert to fraction form
    29,314/64,602 = 64,602/x
  3. Step 3: Cross multiply
    29,314x = 64,602 × 64,602
  4. Step 4: Simplify right side
    29,314x = 4,173,418,404
  5. Step 5: Solve for x
    x = 4,173,418,404/29,314
  6. Step 6: Final answer
    x = 142,369.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.