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Finding the Third Proportional to 4,566.16 and 9,837.70

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Solution

The third proportional to 4,566.16 and 9,837.70 is: 21,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.16 : 9,837.70 = 9,837.70 : x
  2. Step 2: Convert to fraction form
    4,566.16/9,837.70 = 9,837.70/x
  3. Step 3: Cross multiply
    4,566.16x = 9,837.70 × 9,837.70
  4. Step 4: Simplify right side
    4,566.16x = 96,780,402.78
  5. Step 5: Solve for x
    x = 96,780,402.78/4,566.16
  6. Step 6: Final answer
    x = 21,195.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.