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Finding the Third Proportional to 19,100 and 46,452

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Solution

The third proportional to 19,100 and 46,452 is: 112,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,100 : 46,452 = 46,452 : x
  2. Step 2: Convert to fraction form
    19,100/46,452 = 46,452/x
  3. Step 3: Cross multiply
    19,100x = 46,452 × 46,452
  4. Step 4: Simplify right side
    19,100x = 2,157,788,304
  5. Step 5: Solve for x
    x = 2,157,788,304/19,100
  6. Step 6: Final answer
    x = 112,973.21

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.