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Finding the Third Proportional to 19,508 and 29,402

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Solution

The third proportional to 19,508 and 29,402 is: 44,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508 : 29,402 = 29,402 : x
  2. Step 2: Convert to fraction form
    19,508/29,402 = 29,402/x
  3. Step 3: Cross multiply
    19,508x = 29,402 × 29,402
  4. Step 4: Simplify right side
    19,508x = 864,477,604
  5. Step 5: Solve for x
    x = 864,477,604/19,508
  6. Step 6: Final answer
    x = 44,314.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.