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Finding the Third Proportional to 9,733.50 and 15,207

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Solution

The third proportional to 9,733.50 and 15,207 is: 23,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.50 : 15,207 = 15,207 : x
  2. Step 2: Convert to fraction form
    9,733.50/15,207 = 15,207/x
  3. Step 3: Cross multiply
    9,733.50x = 15,207 × 15,207
  4. Step 4: Simplify right side
    9,733.50x = 231,252,849
  5. Step 5: Solve for x
    x = 231,252,849/9,733.50
  6. Step 6: Final answer
    x = 23,758.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.