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Finding the Third Proportional to 9,607.50 and 17,088.19

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Solution

The third proportional to 9,607.50 and 17,088.19 is: 30,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.50 : 17,088.19 = 17,088.19 : x
  2. Step 2: Convert to fraction form
    9,607.50/17,088.19 = 17,088.19/x
  3. Step 3: Cross multiply
    9,607.50x = 17,088.19 × 17,088.19
  4. Step 4: Simplify right side
    9,607.50x = 292,006,152.04
  5. Step 5: Solve for x
    x = 292,006,152.04/9,607.50
  6. Step 6: Final answer
    x = 30,393.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.