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Finding the Third Proportional to 12,789 and 17,077.50

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Solution

The third proportional to 12,789 and 17,077.50 is: 22,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789 : 17,077.50 = 17,077.50 : x
  2. Step 2: Convert to fraction form
    12,789/17,077.50 = 17,077.50/x
  3. Step 3: Cross multiply
    12,789x = 17,077.50 × 17,077.50
  4. Step 4: Simplify right side
    12,789x = 291,641,006.25
  5. Step 5: Solve for x
    x = 291,641,006.25/12,789
  6. Step 6: Final answer
    x = 22,804.05

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.