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Finding the Third Proportional to 6,608.63 and 9,730.31

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Solution

The third proportional to 6,608.63 and 9,730.31 is: 14,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.63 : 9,730.31 = 9,730.31 : x
  2. Step 2: Convert to fraction form
    6,608.63/9,730.31 = 9,730.31/x
  3. Step 3: Cross multiply
    6,608.63x = 9,730.31 × 9,730.31
  4. Step 4: Simplify right side
    6,608.63x = 94,678,981.35
  5. Step 5: Solve for x
    x = 94,678,981.35/6,608.63
  6. Step 6: Final answer
    x = 14,326.58

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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.