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Finding the Third Proportional to 9,537 and 14,754.75

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Solution

The third proportional to 9,537 and 14,754.75 is: 22,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 14,754.75 = 14,754.75 : x
  2. Step 2: Convert to fraction form
    9,537/14,754.75 = 14,754.75/x
  3. Step 3: Cross multiply
    9,537x = 14,754.75 × 14,754.75
  4. Step 4: Simplify right side
    9,537x = 217,702,647.56
  5. Step 5: Solve for x
    x = 217,702,647.56/9,537
  6. Step 6: Final answer
    x = 22,827.16

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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.