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Finding the Third Proportional to 32,514 and 46,503

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Solution

The third proportional to 32,514 and 46,503 is: 66,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514 : 46,503 = 46,503 : x
  2. Step 2: Convert to fraction form
    32,514/46,503 = 46,503/x
  3. Step 3: Cross multiply
    32,514x = 46,503 × 46,503
  4. Step 4: Simplify right side
    32,514x = 2,162,529,009
  5. Step 5: Solve for x
    x = 2,162,529,009/32,514
  6. Step 6: Final answer
    x = 66,510.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.