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Finding the Third Proportional to 34,663 and 52,724

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Solution

The third proportional to 34,663 and 52,724 is: 80,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,663 : 52,724 = 52,724 : x
  2. Step 2: Convert to fraction form
    34,663/52,724 = 52,724/x
  3. Step 3: Cross multiply
    34,663x = 52,724 × 52,724
  4. Step 4: Simplify right side
    34,663x = 2,779,820,176
  5. Step 5: Solve for x
    x = 2,779,820,176/34,663
  6. Step 6: Final answer
    x = 80,195.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.