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Finding the Third Proportional to 6,587.58 and 10,467.98

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Solution

The third proportional to 6,587.58 and 10,467.98 is: 16,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.58 : 10,467.98 = 10,467.98 : x
  2. Step 2: Convert to fraction form
    6,587.58/10,467.98 = 10,467.98/x
  3. Step 3: Cross multiply
    6,587.58x = 10,467.98 × 10,467.98
  4. Step 4: Simplify right side
    6,587.58x = 109,578,696.88
  5. Step 5: Solve for x
    x = 109,578,696.88/6,587.58
  6. Step 6: Final answer
    x = 16,634.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.