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Finding the Third Proportional to 12,984.50 and 28,426

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Solution

The third proportional to 12,984.50 and 28,426 is: 62,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.50 : 28,426 = 28,426 : x
  2. Step 2: Convert to fraction form
    12,984.50/28,426 = 28,426/x
  3. Step 3: Cross multiply
    12,984.50x = 28,426 × 28,426
  4. Step 4: Simplify right side
    12,984.50x = 808,037,476
  5. Step 5: Solve for x
    x = 808,037,476/12,984.50
  6. Step 6: Final answer
    x = 62,230.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.