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Finding the Third Proportional to 15,014 and 23,552.25

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Solution

The third proportional to 15,014 and 23,552.25 is: 36,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,014 : 23,552.25 = 23,552.25 : x
  2. Step 2: Convert to fraction form
    15,014/23,552.25 = 23,552.25/x
  3. Step 3: Cross multiply
    15,014x = 23,552.25 × 23,552.25
  4. Step 4: Simplify right side
    15,014x = 554,708,480.06
  5. Step 5: Solve for x
    x = 554,708,480.06/15,014
  6. Step 6: Final answer
    x = 36,946.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.