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Finding the Third Proportional to 19,257 and 28,260

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Solution

The third proportional to 19,257 and 28,260 is: 41,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257 : 28,260 = 28,260 : x
  2. Step 2: Convert to fraction form
    19,257/28,260 = 28,260/x
  3. Step 3: Cross multiply
    19,257x = 28,260 × 28,260
  4. Step 4: Simplify right side
    19,257x = 798,627,600
  5. Step 5: Solve for x
    x = 798,627,600/19,257
  6. Step 6: Final answer
    x = 41,472.07

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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.