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Finding the Third Proportional to 4,615.13 and 9,901.88

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Solution

The third proportional to 4,615.13 and 9,901.88 is: 21,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.13 : 9,901.88 = 9,901.88 : x
  2. Step 2: Convert to fraction form
    4,615.13/9,901.88 = 9,901.88/x
  3. Step 3: Cross multiply
    4,615.13x = 9,901.88 × 9,901.88
  4. Step 4: Simplify right side
    4,615.13x = 98,047,128.52
  5. Step 5: Solve for x
    x = 98,047,128.52/4,615.13
  6. Step 6: Final answer
    x = 21,244.74

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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.