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Finding the Third Proportional to 12,534 and 19,355

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Solution

The third proportional to 12,534 and 19,355 is: 29,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534 : 19,355 = 19,355 : x
  2. Step 2: Convert to fraction form
    12,534/19,355 = 19,355/x
  3. Step 3: Cross multiply
    12,534x = 19,355 × 19,355
  4. Step 4: Simplify right side
    12,534x = 374,616,025
  5. Step 5: Solve for x
    x = 374,616,025/12,534
  6. Step 6: Final answer
    x = 29,887.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.