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Finding the Third Proportional to 2,633.13 and 6,210.74

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Solution

The third proportional to 2,633.13 and 6,210.74 is: 14,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.13 : 6,210.74 = 6,210.74 : x
  2. Step 2: Convert to fraction form
    2,633.13/6,210.74 = 6,210.74/x
  3. Step 3: Cross multiply
    2,633.13x = 6,210.74 × 6,210.74
  4. Step 4: Simplify right side
    2,633.13x = 38,573,270.00
  5. Step 5: Solve for x
    x = 38,573,270.00/2,633.13
  6. Step 6: Final answer
    x = 14,649.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.