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Finding the Third Proportional to 28,902.75 and 45,778.13

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Solution

The third proportional to 28,902.75 and 45,778.13 is: 72,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902.75 : 45,778.13 = 45,778.13 : x
  2. Step 2: Convert to fraction form
    28,902.75/45,778.13 = 45,778.13/x
  3. Step 3: Cross multiply
    28,902.75x = 45,778.13 × 45,778.13
  4. Step 4: Simplify right side
    28,902.75x = 2,095,636,728.52
  5. Step 5: Solve for x
    x = 2,095,636,728.52/28,902.75
  6. Step 6: Final answer
    x = 72,506.48

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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.