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Finding the Third Proportional to 12,309.50 and 26,875.75

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Solution

The third proportional to 12,309.50 and 26,875.75 is: 58,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.50 : 26,875.75 = 26,875.75 : x
  2. Step 2: Convert to fraction form
    12,309.50/26,875.75 = 26,875.75/x
  3. Step 3: Cross multiply
    12,309.50x = 26,875.75 × 26,875.75
  4. Step 4: Simplify right side
    12,309.50x = 722,305,938.06
  5. Step 5: Solve for x
    x = 722,305,938.06/12,309.50
  6. Step 6: Final answer
    x = 58,678.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.