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Finding the Third Proportional to 26,464 and 40,560

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Solution

The third proportional to 26,464 and 40,560 is: 62,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464 : 40,560 = 40,560 : x
  2. Step 2: Convert to fraction form
    26,464/40,560 = 40,560/x
  3. Step 3: Cross multiply
    26,464x = 40,560 × 40,560
  4. Step 4: Simplify right side
    26,464x = 1,645,113,600
  5. Step 5: Solve for x
    x = 1,645,113,600/26,464
  6. Step 6: Final answer
    x = 62,164.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.