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Finding the Third Proportional to 21,444 and 46,143

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Solution

The third proportional to 21,444 and 46,143 is: 99,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444 : 46,143 = 46,143 : x
  2. Step 2: Convert to fraction form
    21,444/46,143 = 46,143/x
  3. Step 3: Cross multiply
    21,444x = 46,143 × 46,143
  4. Step 4: Simplify right side
    21,444x = 2,129,176,449
  5. Step 5: Solve for x
    x = 2,129,176,449/21,444
  6. Step 6: Final answer
    x = 99,290.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.