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Finding the Third Proportional to 6,498.88 and 9,293.63

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Solution

The third proportional to 6,498.88 and 9,293.63 is: 13,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.88 : 9,293.63 = 9,293.63 : x
  2. Step 2: Convert to fraction form
    6,498.88/9,293.63 = 9,293.63/x
  3. Step 3: Cross multiply
    6,498.88x = 9,293.63 × 9,293.63
  4. Step 4: Simplify right side
    6,498.88x = 86,371,465.64
  5. Step 5: Solve for x
    x = 86,371,465.64/6,498.88
  6. Step 6: Final answer
    x = 13,290.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.