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Finding the Third Proportional to 19,023 and 28,429.50

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Solution

The third proportional to 19,023 and 28,429.50 is: 42,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,023 : 28,429.50 = 28,429.50 : x
  2. Step 2: Convert to fraction form
    19,023/28,429.50 = 28,429.50/x
  3. Step 3: Cross multiply
    19,023x = 28,429.50 × 28,429.50
  4. Step 4: Simplify right side
    19,023x = 808,236,470.25
  5. Step 5: Solve for x
    x = 808,236,470.25/19,023
  6. Step 6: Final answer
    x = 42,487.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.