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Finding the Third Proportional to 4,416.71 and 9,653.55

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Solution

The third proportional to 4,416.71 and 9,653.55 is: 21,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.71 : 9,653.55 = 9,653.55 : x
  2. Step 2: Convert to fraction form
    4,416.71/9,653.55 = 9,653.55/x
  3. Step 3: Cross multiply
    4,416.71x = 9,653.55 × 9,653.55
  4. Step 4: Simplify right side
    4,416.71x = 93,191,118.10
  5. Step 5: Solve for x
    x = 93,191,118.10/4,416.71
  6. Step 6: Final answer
    x = 21,099.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.