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Finding the Third Proportional to 28,912 and 46,223

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Solution

The third proportional to 28,912 and 46,223 is: 73,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,912 : 46,223 = 46,223 : x
  2. Step 2: Convert to fraction form
    28,912/46,223 = 46,223/x
  3. Step 3: Cross multiply
    28,912x = 46,223 × 46,223
  4. Step 4: Simplify right side
    28,912x = 2,136,565,729
  5. Step 5: Solve for x
    x = 2,136,565,729/28,912
  6. Step 6: Final answer
    x = 73,898.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.