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Finding the Third Proportional to 19,692.28 and 31,319.16

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Solution

The third proportional to 19,692.28 and 31,319.16 is: 49,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.28 : 31,319.16 = 31,319.16 : x
  2. Step 2: Convert to fraction form
    19,692.28/31,319.16 = 31,319.16/x
  3. Step 3: Cross multiply
    19,692.28x = 31,319.16 × 31,319.16
  4. Step 4: Simplify right side
    19,692.28x = 980,889,548.21
  5. Step 5: Solve for x
    x = 980,889,548.21/19,692.28
  6. Step 6: Final answer
    x = 49,810.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.