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Finding the Third Proportional to 21,285.25 and 46,254.75

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Solution

The third proportional to 21,285.25 and 46,254.75 is: 100,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285.25 : 46,254.75 = 46,254.75 : x
  2. Step 2: Convert to fraction form
    21,285.25/46,254.75 = 46,254.75/x
  3. Step 3: Cross multiply
    21,285.25x = 46,254.75 × 46,254.75
  4. Step 4: Simplify right side
    21,285.25x = 2,139,501,897.56
  5. Step 5: Solve for x
    x = 2,139,501,897.56/21,285.25
  6. Step 6: Final answer
    x = 100,515.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.