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Finding the Third Proportional to 15,278.75 and 22,823.75

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Solution

The third proportional to 15,278.75 and 22,823.75 is: 34,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.75 : 22,823.75 = 22,823.75 : x
  2. Step 2: Convert to fraction form
    15,278.75/22,823.75 = 22,823.75/x
  3. Step 3: Cross multiply
    15,278.75x = 22,823.75 × 22,823.75
  4. Step 4: Simplify right side
    15,278.75x = 520,923,564.06
  5. Step 5: Solve for x
    x = 520,923,564.06/15,278.75
  6. Step 6: Final answer
    x = 34,094.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.