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Finding the Third Proportional to 26,090 and 56,434

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Solution

The third proportional to 26,090 and 56,434 is: 122,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,090 : 56,434 = 56,434 : x
  2. Step 2: Convert to fraction form
    26,090/56,434 = 56,434/x
  3. Step 3: Cross multiply
    26,090x = 56,434 × 56,434
  4. Step 4: Simplify right side
    26,090x = 3,184,796,356
  5. Step 5: Solve for x
    x = 3,184,796,356/26,090
  6. Step 6: Final answer
    x = 122,069.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.