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Finding the Third Proportional to 19,470 and 30,418

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Solution

The third proportional to 19,470 and 30,418 is: 47,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 30,418 = 30,418 : x
  2. Step 2: Convert to fraction form
    19,470/30,418 = 30,418/x
  3. Step 3: Cross multiply
    19,470x = 30,418 × 30,418
  4. Step 4: Simplify right side
    19,470x = 925,254,724
  5. Step 5: Solve for x
    x = 925,254,724/19,470
  6. Step 6: Final answer
    x = 47,522.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.