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Finding the Third Proportional to 7,635.52 and 16,501.22

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Solution

The third proportional to 7,635.52 and 16,501.22 is: 35,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.52 : 16,501.22 = 16,501.22 : x
  2. Step 2: Convert to fraction form
    7,635.52/16,501.22 = 16,501.22/x
  3. Step 3: Cross multiply
    7,635.52x = 16,501.22 × 16,501.22
  4. Step 4: Simplify right side
    7,635.52x = 272,290,220.24
  5. Step 5: Solve for x
    x = 272,290,220.24/7,635.52
  6. Step 6: Final answer
    x = 35,661.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.