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Finding the Third Proportional to 12,588 and 19,508

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Solution

The third proportional to 12,588 and 19,508 is: 30,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588 : 19,508 = 19,508 : x
  2. Step 2: Convert to fraction form
    12,588/19,508 = 19,508/x
  3. Step 3: Cross multiply
    12,588x = 19,508 × 19,508
  4. Step 4: Simplify right side
    12,588x = 380,562,064
  5. Step 5: Solve for x
    x = 380,562,064/12,588
  6. Step 6: Final answer
    x = 30,232.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.