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Finding the Third Proportional to 15,169.50 and 31,907.25

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Solution

The third proportional to 15,169.50 and 31,907.25 is: 67,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.50 : 31,907.25 = 31,907.25 : x
  2. Step 2: Convert to fraction form
    15,169.50/31,907.25 = 31,907.25/x
  3. Step 3: Cross multiply
    15,169.50x = 31,907.25 × 31,907.25
  4. Step 4: Simplify right side
    15,169.50x = 1,018,072,602.56
  5. Step 5: Solve for x
    x = 1,018,072,602.56/15,169.50
  6. Step 6: Final answer
    x = 67,113.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.