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Finding the Third Proportional to 45,965 and 63,297

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Solution

The third proportional to 45,965 and 63,297 is: 87,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,965 : 63,297 = 63,297 : x
  2. Step 2: Convert to fraction form
    45,965/63,297 = 63,297/x
  3. Step 3: Cross multiply
    45,965x = 63,297 × 63,297
  4. Step 4: Simplify right side
    45,965x = 4,006,510,209
  5. Step 5: Solve for x
    x = 4,006,510,209/45,965
  6. Step 6: Final answer
    x = 87,164.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.