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Finding the Third Proportional to 19,709.50 and 28,830.75

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Solution

The third proportional to 19,709.50 and 28,830.75 is: 42,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.50 : 28,830.75 = 28,830.75 : x
  2. Step 2: Convert to fraction form
    19,709.50/28,830.75 = 28,830.75/x
  3. Step 3: Cross multiply
    19,709.50x = 28,830.75 × 28,830.75
  4. Step 4: Simplify right side
    19,709.50x = 831,212,145.56
  5. Step 5: Solve for x
    x = 831,212,145.56/19,709.50
  6. Step 6: Final answer
    x = 42,173.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.