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Finding the Third Proportional to 12,431.50 and 19,275.50

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Solution

The third proportional to 12,431.50 and 19,275.50 is: 29,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.50 : 19,275.50 = 19,275.50 : x
  2. Step 2: Convert to fraction form
    12,431.50/19,275.50 = 19,275.50/x
  3. Step 3: Cross multiply
    12,431.50x = 19,275.50 × 19,275.50
  4. Step 4: Simplify right side
    12,431.50x = 371,544,900.25
  5. Step 5: Solve for x
    x = 371,544,900.25/12,431.50
  6. Step 6: Final answer
    x = 29,887.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.