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Finding the Third Proportional to 18,729 and 28,998

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Solution

The third proportional to 18,729 and 28,998 is: 44,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,729 : 28,998 = 28,998 : x
  2. Step 2: Convert to fraction form
    18,729/28,998 = 28,998/x
  3. Step 3: Cross multiply
    18,729x = 28,998 × 28,998
  4. Step 4: Simplify right side
    18,729x = 840,884,004
  5. Step 5: Solve for x
    x = 840,884,004/18,729
  6. Step 6: Final answer
    x = 44,897.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.