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Finding the Third Proportional to 29,590.31 and 44,692.59

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Solution

The third proportional to 29,590.31 and 44,692.59 is: 67,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,590.31 : 44,692.59 = 44,692.59 : x
  2. Step 2: Convert to fraction form
    29,590.31/44,692.59 = 44,692.59/x
  3. Step 3: Cross multiply
    29,590.31x = 44,692.59 × 44,692.59
  4. Step 4: Simplify right side
    29,590.31x = 1,997,427,936.10
  5. Step 5: Solve for x
    x = 1,997,427,936.10/29,590.31
  6. Step 6: Final answer
    x = 67,502.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.