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Finding the Third Proportional to 26,370 and 56,772

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Solution

The third proportional to 26,370 and 56,772 is: 122,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,370 : 56,772 = 56,772 : x
  2. Step 2: Convert to fraction form
    26,370/56,772 = 56,772/x
  3. Step 3: Cross multiply
    26,370x = 56,772 × 56,772
  4. Step 4: Simplify right side
    26,370x = 3,223,059,984
  5. Step 5: Solve for x
    x = 3,223,059,984/26,370
  6. Step 6: Final answer
    x = 122,224.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.