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Finding the Third Proportional to 4,573.69 and 6,686.16

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Solution

The third proportional to 4,573.69 and 6,686.16 is: 9,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.69 : 6,686.16 = 6,686.16 : x
  2. Step 2: Convert to fraction form
    4,573.69/6,686.16 = 6,686.16/x
  3. Step 3: Cross multiply
    4,573.69x = 6,686.16 × 6,686.16
  4. Step 4: Simplify right side
    4,573.69x = 44,704,685.40
  5. Step 5: Solve for x
    x = 44,704,685.40/4,573.69
  6. Step 6: Final answer
    x = 9,774.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.