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Finding the Third Proportional to 9,519 and 14,602.50

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Solution

The third proportional to 9,519 and 14,602.50 is: 22,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519 : 14,602.50 = 14,602.50 : x
  2. Step 2: Convert to fraction form
    9,519/14,602.50 = 14,602.50/x
  3. Step 3: Cross multiply
    9,519x = 14,602.50 × 14,602.50
  4. Step 4: Simplify right side
    9,519x = 213,233,006.25
  5. Step 5: Solve for x
    x = 213,233,006.25/9,519
  6. Step 6: Final answer
    x = 22,400.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.