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Finding the Third Proportional to 21,849.75 and 46,815.47

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Solution

The third proportional to 21,849.75 and 46,815.47 is: 100,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.75 : 46,815.47 = 46,815.47 : x
  2. Step 2: Convert to fraction form
    21,849.75/46,815.47 = 46,815.47/x
  3. Step 3: Cross multiply
    21,849.75x = 46,815.47 × 46,815.47
  4. Step 4: Simplify right side
    21,849.75x = 2,191,688,114.28
  5. Step 5: Solve for x
    x = 2,191,688,114.28/21,849.75
  6. Step 6: Final answer
    x = 100,307.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.