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Finding the Third Proportional to 7,316.50 and 17,264.25

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Solution

The third proportional to 7,316.50 and 17,264.25 is: 40,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.50 : 17,264.25 = 17,264.25 : x
  2. Step 2: Convert to fraction form
    7,316.50/17,264.25 = 17,264.25/x
  3. Step 3: Cross multiply
    7,316.50x = 17,264.25 × 17,264.25
  4. Step 4: Simplify right side
    7,316.50x = 298,054,328.06
  5. Step 5: Solve for x
    x = 298,054,328.06/7,316.50
  6. Step 6: Final answer
    x = 40,737.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.