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Finding the Third Proportional to 3,014.63 and 6,545.63

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Solution

The third proportional to 3,014.63 and 6,545.63 is: 14,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.63 : 6,545.63 = 6,545.63 : x
  2. Step 2: Convert to fraction form
    3,014.63/6,545.63 = 6,545.63/x
  3. Step 3: Cross multiply
    3,014.63x = 6,545.63 × 6,545.63
  4. Step 4: Simplify right side
    3,014.63x = 42,845,206.64
  5. Step 5: Solve for x
    x = 42,845,206.64/3,014.63
  6. Step 6: Final answer
    x = 14,212.45

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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.