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Finding the Third Proportional to 19,359 and 28,471.50

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Solution

The third proportional to 19,359 and 28,471.50 is: 41,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,359 : 28,471.50 = 28,471.50 : x
  2. Step 2: Convert to fraction form
    19,359/28,471.50 = 28,471.50/x
  3. Step 3: Cross multiply
    19,359x = 28,471.50 × 28,471.50
  4. Step 4: Simplify right side
    19,359x = 810,626,312.25
  5. Step 5: Solve for x
    x = 810,626,312.25/19,359
  6. Step 6: Final answer
    x = 41,873.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.