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Finding the Third Proportional to 26,498 and 56,154

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Solution

The third proportional to 26,498 and 56,154 is: 119,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498 : 56,154 = 56,154 : x
  2. Step 2: Convert to fraction form
    26,498/56,154 = 56,154/x
  3. Step 3: Cross multiply
    26,498x = 56,154 × 56,154
  4. Step 4: Simplify right side
    26,498x = 3,153,271,716
  5. Step 5: Solve for x
    x = 3,153,271,716/26,498
  6. Step 6: Final answer
    x = 119,000.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.