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Finding the Third Proportional to 4,646.43 and 6,623.65

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Solution

The third proportional to 4,646.43 and 6,623.65 is: 9,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.43 : 6,623.65 = 6,623.65 : x
  2. Step 2: Convert to fraction form
    4,646.43/6,623.65 = 6,623.65/x
  3. Step 3: Cross multiply
    4,646.43x = 6,623.65 × 6,623.65
  4. Step 4: Simplify right side
    4,646.43x = 43,872,718.62
  5. Step 5: Solve for x
    x = 43,872,718.62/4,646.43
  6. Step 6: Final answer
    x = 9,442.25

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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.