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Finding the Third Proportional to 9,217 and 12,097.50

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Solution

The third proportional to 9,217 and 12,097.50 is: 15,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217 : 12,097.50 = 12,097.50 : x
  2. Step 2: Convert to fraction form
    9,217/12,097.50 = 12,097.50/x
  3. Step 3: Cross multiply
    9,217x = 12,097.50 × 12,097.50
  4. Step 4: Simplify right side
    9,217x = 146,349,506.25
  5. Step 5: Solve for x
    x = 146,349,506.25/9,217
  6. Step 6: Final answer
    x = 15,878.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.