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Finding the Third Proportional to 7,330.50 and 15,702.19

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Solution

The third proportional to 7,330.50 and 15,702.19 is: 33,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.50 : 15,702.19 = 15,702.19 : x
  2. Step 2: Convert to fraction form
    7,330.50/15,702.19 = 15,702.19/x
  3. Step 3: Cross multiply
    7,330.50x = 15,702.19 × 15,702.19
  4. Step 4: Simplify right side
    7,330.50x = 246,558,692.29
  5. Step 5: Solve for x
    x = 246,558,692.29/7,330.50
  6. Step 6: Final answer
    x = 33,634.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.