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Finding the Third Proportional to 19,292 and 28,370

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Solution

The third proportional to 19,292 and 28,370 is: 41,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292 : 28,370 = 28,370 : x
  2. Step 2: Convert to fraction form
    19,292/28,370 = 28,370/x
  3. Step 3: Cross multiply
    19,292x = 28,370 × 28,370
  4. Step 4: Simplify right side
    19,292x = 804,856,900
  5. Step 5: Solve for x
    x = 804,856,900/19,292
  6. Step 6: Final answer
    x = 41,719.72

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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.