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Finding the Third Proportional to 9,270 and 14,337.75

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Solution

The third proportional to 9,270 and 14,337.75 is: 22,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270 : 14,337.75 = 14,337.75 : x
  2. Step 2: Convert to fraction form
    9,270/14,337.75 = 14,337.75/x
  3. Step 3: Cross multiply
    9,270x = 14,337.75 × 14,337.75
  4. Step 4: Simplify right side
    9,270x = 205,571,075.06
  5. Step 5: Solve for x
    x = 205,571,075.06/9,270
  6. Step 6: Final answer
    x = 22,175.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.