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Finding the Third Proportional to 18,977 and 28,526.50

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Solution

The third proportional to 18,977 and 28,526.50 is: 42,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977 : 28,526.50 = 28,526.50 : x
  2. Step 2: Convert to fraction form
    18,977/28,526.50 = 28,526.50/x
  3. Step 3: Cross multiply
    18,977x = 28,526.50 × 28,526.50
  4. Step 4: Simplify right side
    18,977x = 813,761,202.25
  5. Step 5: Solve for x
    x = 813,761,202.25/18,977
  6. Step 6: Final answer
    x = 42,881.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.