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Finding the Third Proportional to 15,107.50 and 23,451

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Solution

The third proportional to 15,107.50 and 23,451 is: 36,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.50 : 23,451 = 23,451 : x
  2. Step 2: Convert to fraction form
    15,107.50/23,451 = 23,451/x
  3. Step 3: Cross multiply
    15,107.50x = 23,451 × 23,451
  4. Step 4: Simplify right side
    15,107.50x = 549,949,401
  5. Step 5: Solve for x
    x = 549,949,401/15,107.50
  6. Step 6: Final answer
    x = 36,402.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.