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Finding the Third Proportional to 7,265.32 and 15,692.48

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Solution

The third proportional to 7,265.32 and 15,692.48 is: 33,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.32 : 15,692.48 = 15,692.48 : x
  2. Step 2: Convert to fraction form
    7,265.32/15,692.48 = 15,692.48/x
  3. Step 3: Cross multiply
    7,265.32x = 15,692.48 × 15,692.48
  4. Step 4: Simplify right side
    7,265.32x = 246,254,065.86
  5. Step 5: Solve for x
    x = 246,254,065.86/7,265.32
  6. Step 6: Final answer
    x = 33,894.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.