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Finding the Third Proportional to 16,056 and 23,618.25

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Solution

The third proportional to 16,056 and 23,618.25 is: 34,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056 : 23,618.25 = 23,618.25 : x
  2. Step 2: Convert to fraction form
    16,056/23,618.25 = 23,618.25/x
  3. Step 3: Cross multiply
    16,056x = 23,618.25 × 23,618.25
  4. Step 4: Simplify right side
    16,056x = 557,821,733.06
  5. Step 5: Solve for x
    x = 557,821,733.06/16,056
  6. Step 6: Final answer
    x = 34,742.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.