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Finding the Third Proportional to 7,585.31 and 16,035.47

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Solution

The third proportional to 7,585.31 and 16,035.47 is: 33,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.31 : 16,035.47 = 16,035.47 : x
  2. Step 2: Convert to fraction form
    7,585.31/16,035.47 = 16,035.47/x
  3. Step 3: Cross multiply
    7,585.31x = 16,035.47 × 16,035.47
  4. Step 4: Simplify right side
    7,585.31x = 257,136,258.03
  5. Step 5: Solve for x
    x = 257,136,258.03/7,585.31
  6. Step 6: Final answer
    x = 33,899.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.