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Finding the Third Proportional to 26,460 and 34,992

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Solution

The third proportional to 26,460 and 34,992 is: 46,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,460 : 34,992 = 34,992 : x
  2. Step 2: Convert to fraction form
    26,460/34,992 = 34,992/x
  3. Step 3: Cross multiply
    26,460x = 34,992 × 34,992
  4. Step 4: Simplify right side
    26,460x = 1,224,440,064
  5. Step 5: Solve for x
    x = 1,224,440,064/26,460
  6. Step 6: Final answer
    x = 46,275.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.