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Finding the Third Proportional to 27,575 and 59,818

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Solution

The third proportional to 27,575 and 59,818 is: 129,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575 : 59,818 = 59,818 : x
  2. Step 2: Convert to fraction form
    27,575/59,818 = 59,818/x
  3. Step 3: Cross multiply
    27,575x = 59,818 × 59,818
  4. Step 4: Simplify right side
    27,575x = 3,578,193,124
  5. Step 5: Solve for x
    x = 3,578,193,124/27,575
  6. Step 6: Final answer
    x = 129,762.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.