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Finding the Third Proportional to 12,309.47 and 19,493.16

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Solution

The third proportional to 12,309.47 and 19,493.16 is: 30,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.47 : 19,493.16 = 19,493.16 : x
  2. Step 2: Convert to fraction form
    12,309.47/19,493.16 = 19,493.16/x
  3. Step 3: Cross multiply
    12,309.47x = 19,493.16 × 19,493.16
  4. Step 4: Simplify right side
    12,309.47x = 379,983,140.59
  5. Step 5: Solve for x
    x = 379,983,140.59/12,309.47
  6. Step 6: Final answer
    x = 30,869.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.