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Finding the Third Proportional to 28,737 and 46,142

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Solution

The third proportional to 28,737 and 46,142 is: 74,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,737 : 46,142 = 46,142 : x
  2. Step 2: Convert to fraction form
    28,737/46,142 = 46,142/x
  3. Step 3: Cross multiply
    28,737x = 46,142 × 46,142
  4. Step 4: Simplify right side
    28,737x = 2,129,084,164
  5. Step 5: Solve for x
    x = 2,129,084,164/28,737
  6. Step 6: Final answer
    x = 74,088.60

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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.