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Finding the Third Proportional to 4,456.13 and 9,698.63

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Solution

The third proportional to 4,456.13 and 9,698.63 is: 21,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.13 : 9,698.63 = 9,698.63 : x
  2. Step 2: Convert to fraction form
    4,456.13/9,698.63 = 9,698.63/x
  3. Step 3: Cross multiply
    4,456.13x = 9,698.63 × 9,698.63
  4. Step 4: Simplify right side
    4,456.13x = 94,063,326.89
  5. Step 5: Solve for x
    x = 94,063,326.89/4,456.13
  6. Step 6: Final answer
    x = 21,108.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.