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Finding the Third Proportional to 10,035 and 14,907.50

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Solution

The third proportional to 10,035 and 14,907.50 is: 22,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 14,907.50 = 14,907.50 : x
  2. Step 2: Convert to fraction form
    10,035/14,907.50 = 14,907.50/x
  3. Step 3: Cross multiply
    10,035x = 14,907.50 × 14,907.50
  4. Step 4: Simplify right side
    10,035x = 222,233,556.25
  5. Step 5: Solve for x
    x = 222,233,556.25/10,035
  6. Step 6: Final answer
    x = 22,145.85

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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.