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Finding the Third Proportional to 26,358 and 56,747

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Solution

The third proportional to 26,358 and 56,747 is: 122,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358 : 56,747 = 56,747 : x
  2. Step 2: Convert to fraction form
    26,358/56,747 = 56,747/x
  3. Step 3: Cross multiply
    26,358x = 56,747 × 56,747
  4. Step 4: Simplify right side
    26,358x = 3,220,222,009
  5. Step 5: Solve for x
    x = 3,220,222,009/26,358
  6. Step 6: Final answer
    x = 122,172.47

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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.