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Finding the Third Proportional to 6,305.06 and 9,275.06

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Solution

The third proportional to 6,305.06 and 9,275.06 is: 13,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.06 : 9,275.06 = 9,275.06 : x
  2. Step 2: Convert to fraction form
    6,305.06/9,275.06 = 9,275.06/x
  3. Step 3: Cross multiply
    6,305.06x = 9,275.06 × 9,275.06
  4. Step 4: Simplify right side
    6,305.06x = 86,026,784.38
  5. Step 5: Solve for x
    x = 86,026,784.38/6,305.06
  6. Step 6: Final answer
    x = 13,644.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.