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Finding the Third Proportional to 26,466 and 38,815

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Solution

The third proportional to 26,466 and 38,815 is: 56,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466 : 38,815 = 38,815 : x
  2. Step 2: Convert to fraction form
    26,466/38,815 = 38,815/x
  3. Step 3: Cross multiply
    26,466x = 38,815 × 38,815
  4. Step 4: Simplify right side
    26,466x = 1,506,604,225
  5. Step 5: Solve for x
    x = 1,506,604,225/26,466
  6. Step 6: Final answer
    x = 56,926.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.