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Finding the Third Proportional to 19,914 and 29,415

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Solution

The third proportional to 19,914 and 29,415 is: 43,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914 : 29,415 = 29,415 : x
  2. Step 2: Convert to fraction form
    19,914/29,415 = 29,415/x
  3. Step 3: Cross multiply
    19,914x = 29,415 × 29,415
  4. Step 4: Simplify right side
    19,914x = 865,242,225
  5. Step 5: Solve for x
    x = 865,242,225/19,914
  6. Step 6: Final answer
    x = 43,448.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.