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Finding the Third Proportional to 19,073 and 25,465.50

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Solution

The third proportional to 19,073 and 25,465.50 is: 34,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,073 : 25,465.50 = 25,465.50 : x
  2. Step 2: Convert to fraction form
    19,073/25,465.50 = 25,465.50/x
  3. Step 3: Cross multiply
    19,073x = 25,465.50 × 25,465.50
  4. Step 4: Simplify right side
    19,073x = 648,491,690.25
  5. Step 5: Solve for x
    x = 648,491,690.25/19,073
  6. Step 6: Final answer
    x = 34,000.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.