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Finding the Third Proportional to 15,363 and 23,208.75

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Solution

The third proportional to 15,363 and 23,208.75 is: 35,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,363 : 23,208.75 = 23,208.75 : x
  2. Step 2: Convert to fraction form
    15,363/23,208.75 = 23,208.75/x
  3. Step 3: Cross multiply
    15,363x = 23,208.75 × 23,208.75
  4. Step 4: Simplify right side
    15,363x = 538,646,076.56
  5. Step 5: Solve for x
    x = 538,646,076.56/15,363
  6. Step 6: Final answer
    x = 35,061.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.