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Finding the Third Proportional to 21,350.25 and 31,907.25

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Solution

The third proportional to 21,350.25 and 31,907.25 is: 47,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350.25 : 31,907.25 = 31,907.25 : x
  2. Step 2: Convert to fraction form
    21,350.25/31,907.25 = 31,907.25/x
  3. Step 3: Cross multiply
    21,350.25x = 31,907.25 × 31,907.25
  4. Step 4: Simplify right side
    21,350.25x = 1,018,072,602.56
  5. Step 5: Solve for x
    x = 1,018,072,602.56/21,350.25
  6. Step 6: Final answer
    x = 47,684.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.