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Finding the Third Proportional to 6,582.52 and 9,957.30

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Solution

The third proportional to 6,582.52 and 9,957.30 is: 15,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.52 : 9,957.30 = 9,957.30 : x
  2. Step 2: Convert to fraction form
    6,582.52/9,957.30 = 9,957.30/x
  3. Step 3: Cross multiply
    6,582.52x = 9,957.30 × 9,957.30
  4. Step 4: Simplify right side
    6,582.52x = 99,147,916.64
  5. Step 5: Solve for x
    x = 99,147,916.64/6,582.52
  6. Step 6: Final answer
    x = 15,062.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.