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Finding the Third Proportional to 21,615.75 and 46,566

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Solution

The third proportional to 21,615.75 and 46,566 is: 100,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.75 : 46,566 = 46,566 : x
  2. Step 2: Convert to fraction form
    21,615.75/46,566 = 46,566/x
  3. Step 3: Cross multiply
    21,615.75x = 46,566 × 46,566
  4. Step 4: Simplify right side
    21,615.75x = 2,168,392,356
  5. Step 5: Solve for x
    x = 2,168,392,356/21,615.75
  6. Step 6: Final answer
    x = 100,315.39

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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.