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Finding the Third Proportional to 28,902 and 45,777

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Solution

The third proportional to 28,902 and 45,777 is: 72,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902 : 45,777 = 45,777 : x
  2. Step 2: Convert to fraction form
    28,902/45,777 = 45,777/x
  3. Step 3: Cross multiply
    28,902x = 45,777 × 45,777
  4. Step 4: Simplify right side
    28,902x = 2,095,533,729
  5. Step 5: Solve for x
    x = 2,095,533,729/28,902
  6. Step 6: Final answer
    x = 72,504.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.