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Finding the Third Proportional to 27,715 and 52,878.50

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Solution

The third proportional to 27,715 and 52,878.50 is: 100,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715 : 52,878.50 = 52,878.50 : x
  2. Step 2: Convert to fraction form
    27,715/52,878.50 = 52,878.50/x
  3. Step 3: Cross multiply
    27,715x = 52,878.50 × 52,878.50
  4. Step 4: Simplify right side
    27,715x = 2,796,135,762.25
  5. Step 5: Solve for x
    x = 2,796,135,762.25/27,715
  6. Step 6: Final answer
    x = 100,888.90

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.