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Finding the Third Proportional to 12,098.50 and 19,264

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Solution

The third proportional to 12,098.50 and 19,264 is: 30,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.50 : 19,264 = 19,264 : x
  2. Step 2: Convert to fraction form
    12,098.50/19,264 = 19,264/x
  3. Step 3: Cross multiply
    12,098.50x = 19,264 × 19,264
  4. Step 4: Simplify right side
    12,098.50x = 371,101,696
  5. Step 5: Solve for x
    x = 371,101,696/12,098.50
  6. Step 6: Final answer
    x = 30,673.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.