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Finding the Third Proportional to 6,454.13 and 9,802.69

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Solution

The third proportional to 6,454.13 and 9,802.69 is: 14,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.13 : 9,802.69 = 9,802.69 : x
  2. Step 2: Convert to fraction form
    6,454.13/9,802.69 = 9,802.69/x
  3. Step 3: Cross multiply
    6,454.13x = 9,802.69 × 9,802.69
  4. Step 4: Simplify right side
    6,454.13x = 96,092,682.22
  5. Step 5: Solve for x
    x = 96,092,682.22/6,454.13
  6. Step 6: Final answer
    x = 14,888.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.