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Finding the Third Proportional to 4,345.88 and 9,384.61

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Solution

The third proportional to 4,345.88 and 9,384.61 is: 20,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.88 : 9,384.61 = 9,384.61 : x
  2. Step 2: Convert to fraction form
    4,345.88/9,384.61 = 9,384.61/x
  3. Step 3: Cross multiply
    4,345.88x = 9,384.61 × 9,384.61
  4. Step 4: Simplify right side
    4,345.88x = 88,070,893.12
  5. Step 5: Solve for x
    x = 88,070,893.12/4,345.88
  6. Step 6: Final answer
    x = 20,265.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.