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Finding the Third Proportional to 6,984 and 15,124.50

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Solution

The third proportional to 6,984 and 15,124.50 is: 32,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 15,124.50 = 15,124.50 : x
  2. Step 2: Convert to fraction form
    6,984/15,124.50 = 15,124.50/x
  3. Step 3: Cross multiply
    6,984x = 15,124.50 × 15,124.50
  4. Step 4: Simplify right side
    6,984x = 228,750,500.25
  5. Step 5: Solve for x
    x = 228,750,500.25/6,984
  6. Step 6: Final answer
    x = 32,753.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.