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Finding the Third Proportional to 29,498.25 and 63,692.25

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Solution

The third proportional to 29,498.25 and 63,692.25 is: 137,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498.25 : 63,692.25 = 63,692.25 : x
  2. Step 2: Convert to fraction form
    29,498.25/63,692.25 = 63,692.25/x
  3. Step 3: Cross multiply
    29,498.25x = 63,692.25 × 63,692.25
  4. Step 4: Simplify right side
    29,498.25x = 4,056,702,710.06
  5. Step 5: Solve for x
    x = 4,056,702,710.06/29,498.25
  6. Step 6: Final answer
    x = 137,523.50

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