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Finding the Third Proportional to 15,075 and 31,801.50

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Solution

The third proportional to 15,075 and 31,801.50 is: 67,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075 : 31,801.50 = 31,801.50 : x
  2. Step 2: Convert to fraction form
    15,075/31,801.50 = 31,801.50/x
  3. Step 3: Cross multiply
    15,075x = 31,801.50 × 31,801.50
  4. Step 4: Simplify right side
    15,075x = 1,011,335,402.25
  5. Step 5: Solve for x
    x = 1,011,335,402.25/15,075
  6. Step 6: Final answer
    x = 67,086.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.