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Finding the Third Proportional to 12,519 and 29,326.50

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Solution

The third proportional to 12,519 and 29,326.50 is: 68,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519 : 29,326.50 = 29,326.50 : x
  2. Step 2: Convert to fraction form
    12,519/29,326.50 = 29,326.50/x
  3. Step 3: Cross multiply
    12,519x = 29,326.50 × 29,326.50
  4. Step 4: Simplify right side
    12,519x = 860,043,602.25
  5. Step 5: Solve for x
    x = 860,043,602.25/12,519
  6. Step 6: Final answer
    x = 68,699.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.