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Finding the Third Proportional to 19,456 and 30,046

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Solution

The third proportional to 19,456 and 30,046 is: 46,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456 : 30,046 = 30,046 : x
  2. Step 2: Convert to fraction form
    19,456/30,046 = 30,046/x
  3. Step 3: Cross multiply
    19,456x = 30,046 × 30,046
  4. Step 4: Simplify right side
    19,456x = 902,762,116
  5. Step 5: Solve for x
    x = 902,762,116/19,456
  6. Step 6: Final answer
    x = 46,400.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.