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Finding the Third Proportional to 29,963 and 65,209

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Solution

The third proportional to 29,963 and 65,209 is: 141,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,963 : 65,209 = 65,209 : x
  2. Step 2: Convert to fraction form
    29,963/65,209 = 65,209/x
  3. Step 3: Cross multiply
    29,963x = 65,209 × 65,209
  4. Step 4: Simplify right side
    29,963x = 4,252,213,681
  5. Step 5: Solve for x
    x = 4,252,213,681/29,963
  6. Step 6: Final answer
    x = 141,915.49

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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.