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Finding the Third Proportional to 19,012.50 and 28,363.50

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Solution

The third proportional to 19,012.50 and 28,363.50 is: 42,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,012.50 : 28,363.50 = 28,363.50 : x
  2. Step 2: Convert to fraction form
    19,012.50/28,363.50 = 28,363.50/x
  3. Step 3: Cross multiply
    19,012.50x = 28,363.50 × 28,363.50
  4. Step 4: Simplify right side
    19,012.50x = 804,488,132.25
  5. Step 5: Solve for x
    x = 804,488,132.25/19,012.50
  6. Step 6: Final answer
    x = 42,313.64

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Why These Related Problems?

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