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Finding the Third Proportional to 12,628 and 26,560.50

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Solution

The third proportional to 12,628 and 26,560.50 is: 55,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628 : 26,560.50 = 26,560.50 : x
  2. Step 2: Convert to fraction form
    12,628/26,560.50 = 26,560.50/x
  3. Step 3: Cross multiply
    12,628x = 26,560.50 × 26,560.50
  4. Step 4: Simplify right side
    12,628x = 705,460,160.25
  5. Step 5: Solve for x
    x = 705,460,160.25/12,628
  6. Step 6: Final answer
    x = 55,864.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.