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Finding the Third Proportional to 7,057 and 15,052.50

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Solution

The third proportional to 7,057 and 15,052.50 is: 32,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057 : 15,052.50 = 15,052.50 : x
  2. Step 2: Convert to fraction form
    7,057/15,052.50 = 15,052.50/x
  3. Step 3: Cross multiply
    7,057x = 15,052.50 × 15,052.50
  4. Step 4: Simplify right side
    7,057x = 226,577,756.25
  5. Step 5: Solve for x
    x = 226,577,756.25/7,057
  6. Step 6: Final answer
    x = 32,106.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.