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Finding the Third Proportional to 26,294 and 56,473

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Solution

The third proportional to 26,294 and 56,473 is: 121,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294 : 56,473 = 56,473 : x
  2. Step 2: Convert to fraction form
    26,294/56,473 = 56,473/x
  3. Step 3: Cross multiply
    26,294x = 56,473 × 56,473
  4. Step 4: Simplify right side
    26,294x = 3,189,199,729
  5. Step 5: Solve for x
    x = 3,189,199,729/26,294
  6. Step 6: Final answer
    x = 121,290.02

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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.