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Finding the Third Proportional to 6,277.50 and 8,607.66

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Solution

The third proportional to 6,277.50 and 8,607.66 is: 11,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.50 : 8,607.66 = 8,607.66 : x
  2. Step 2: Convert to fraction form
    6,277.50/8,607.66 = 8,607.66/x
  3. Step 3: Cross multiply
    6,277.50x = 8,607.66 × 8,607.66
  4. Step 4: Simplify right side
    6,277.50x = 74,091,746.12
  5. Step 5: Solve for x
    x = 74,091,746.12/6,277.50
  6. Step 6: Final answer
    x = 11,802.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.