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Finding the Third Proportional to 19,060 and 27,897

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Solution

The third proportional to 19,060 and 27,897 is: 40,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,060 : 27,897 = 27,897 : x
  2. Step 2: Convert to fraction form
    19,060/27,897 = 27,897/x
  3. Step 3: Cross multiply
    19,060x = 27,897 × 27,897
  4. Step 4: Simplify right side
    19,060x = 778,242,609
  5. Step 5: Solve for x
    x = 778,242,609/19,060
  6. Step 6: Final answer
    x = 40,831.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.