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Finding the Third Proportional to 8,439 and 13,468.50

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Solution

The third proportional to 8,439 and 13,468.50 is: 21,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 13,468.50 = 13,468.50 : x
  2. Step 2: Convert to fraction form
    8,439/13,468.50 = 13,468.50/x
  3. Step 3: Cross multiply
    8,439x = 13,468.50 × 13,468.50
  4. Step 4: Simplify right side
    8,439x = 181,400,492.25
  5. Step 5: Solve for x
    x = 181,400,492.25/8,439
  6. Step 6: Final answer
    x = 21,495.50

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.