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Finding the Third Proportional to 25,297 and 40,645.50

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Solution

The third proportional to 25,297 and 40,645.50 is: 65,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297 : 40,645.50 = 40,645.50 : x
  2. Step 2: Convert to fraction form
    25,297/40,645.50 = 40,645.50/x
  3. Step 3: Cross multiply
    25,297x = 40,645.50 × 40,645.50
  4. Step 4: Simplify right side
    25,297x = 1,652,056,670.25
  5. Step 5: Solve for x
    x = 1,652,056,670.25/25,297
  6. Step 6: Final answer
    x = 65,306.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.