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Finding the Third Proportional to 29,602 and 63,415

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Solution

The third proportional to 29,602 and 63,415 is: 135,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602 : 63,415 = 63,415 : x
  2. Step 2: Convert to fraction form
    29,602/63,415 = 63,415/x
  3. Step 3: Cross multiply
    29,602x = 63,415 × 63,415
  4. Step 4: Simplify right side
    29,602x = 4,021,462,225
  5. Step 5: Solve for x
    x = 4,021,462,225/29,602
  6. Step 6: Final answer
    x = 135,851.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.