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Finding the Third Proportional to 12,829 and 20,053.50

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Solution

The third proportional to 12,829 and 20,053.50 is: 31,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829 : 20,053.50 = 20,053.50 : x
  2. Step 2: Convert to fraction form
    12,829/20,053.50 = 20,053.50/x
  3. Step 3: Cross multiply
    12,829x = 20,053.50 × 20,053.50
  4. Step 4: Simplify right side
    12,829x = 402,142,862.25
  5. Step 5: Solve for x
    x = 402,142,862.25/12,829
  6. Step 6: Final answer
    x = 31,346.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.