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Finding the Third Proportional to 4,565.63 and 9,824.63

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Solution

The third proportional to 4,565.63 and 9,824.63 is: 21,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.63 : 9,824.63 = 9,824.63 : x
  2. Step 2: Convert to fraction form
    4,565.63/9,824.63 = 9,824.63/x
  3. Step 3: Cross multiply
    4,565.63x = 9,824.63 × 9,824.63
  4. Step 4: Simplify right side
    4,565.63x = 96,523,256.39
  5. Step 5: Solve for x
    x = 96,523,256.39/4,565.63
  6. Step 6: Final answer
    x = 21,141.30

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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.