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Finding the Third Proportional to 34,720 and 53,848

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Solution

The third proportional to 34,720 and 53,848 is: 83,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,720 : 53,848 = 53,848 : x
  2. Step 2: Convert to fraction form
    34,720/53,848 = 53,848/x
  3. Step 3: Cross multiply
    34,720x = 53,848 × 53,848
  4. Step 4: Simplify right side
    34,720x = 2,899,607,104
  5. Step 5: Solve for x
    x = 2,899,607,104/34,720
  6. Step 6: Final answer
    x = 83,514.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.