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Finding the Third Proportional to 9,207 and 12,172.50

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Solution

The third proportional to 9,207 and 12,172.50 is: 16,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207 : 12,172.50 = 12,172.50 : x
  2. Step 2: Convert to fraction form
    9,207/12,172.50 = 12,172.50/x
  3. Step 3: Cross multiply
    9,207x = 12,172.50 × 12,172.50
  4. Step 4: Simplify right side
    9,207x = 148,169,756.25
  5. Step 5: Solve for x
    x = 148,169,756.25/9,207
  6. Step 6: Final answer
    x = 16,093.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.