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Finding the Third Proportional to 34,607 and 53,443

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Solution

The third proportional to 34,607 and 53,443 is: 82,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,607 : 53,443 = 53,443 : x
  2. Step 2: Convert to fraction form
    34,607/53,443 = 53,443/x
  3. Step 3: Cross multiply
    34,607x = 53,443 × 53,443
  4. Step 4: Simplify right side
    34,607x = 2,856,154,249
  5. Step 5: Solve for x
    x = 2,856,154,249/34,607
  6. Step 6: Final answer
    x = 82,531.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.