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Finding the Third Proportional to 12,960.50 and 28,357

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Solution

The third proportional to 12,960.50 and 28,357 is: 62,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.50 : 28,357 = 28,357 : x
  2. Step 2: Convert to fraction form
    12,960.50/28,357 = 28,357/x
  3. Step 3: Cross multiply
    12,960.50x = 28,357 × 28,357
  4. Step 4: Simplify right side
    12,960.50x = 804,119,449
  5. Step 5: Solve for x
    x = 804,119,449/12,960.50
  6. Step 6: Final answer
    x = 62,043.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.