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Finding the Third Proportional to 6,271 and 14,852.50

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Solution

The third proportional to 6,271 and 14,852.50 is: 35,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271 : 14,852.50 = 14,852.50 : x
  2. Step 2: Convert to fraction form
    6,271/14,852.50 = 14,852.50/x
  3. Step 3: Cross multiply
    6,271x = 14,852.50 × 14,852.50
  4. Step 4: Simplify right side
    6,271x = 220,596,756.25
  5. Step 5: Solve for x
    x = 220,596,756.25/6,271
  6. Step 6: Final answer
    x = 35,177.29

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.