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Finding the Third Proportional to 28,815 and 44,502

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Solution

The third proportional to 28,815 and 44,502 is: 68,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,815 : 44,502 = 44,502 : x
  2. Step 2: Convert to fraction form
    28,815/44,502 = 44,502/x
  3. Step 3: Cross multiply
    28,815x = 44,502 × 44,502
  4. Step 4: Simplify right side
    28,815x = 1,980,428,004
  5. Step 5: Solve for x
    x = 1,980,428,004/28,815
  6. Step 6: Final answer
    x = 68,729.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.