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Finding the Third Proportional to 45,871 and 64,595

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Solution

The third proportional to 45,871 and 64,595 is: 90,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,871 : 64,595 = 64,595 : x
  2. Step 2: Convert to fraction form
    45,871/64,595 = 64,595/x
  3. Step 3: Cross multiply
    45,871x = 64,595 × 64,595
  4. Step 4: Simplify right side
    45,871x = 4,172,514,025
  5. Step 5: Solve for x
    x = 4,172,514,025/45,871
  6. Step 6: Final answer
    x = 90,961.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.