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Finding the Third Proportional to 12,498.50 and 19,887

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Solution

The third proportional to 12,498.50 and 19,887 is: 31,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.50 : 19,887 = 19,887 : x
  2. Step 2: Convert to fraction form
    12,498.50/19,887 = 19,887/x
  3. Step 3: Cross multiply
    12,498.50x = 19,887 × 19,887
  4. Step 4: Simplify right side
    12,498.50x = 395,492,769
  5. Step 5: Solve for x
    x = 395,492,769/12,498.50
  6. Step 6: Final answer
    x = 31,643.22

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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.