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Finding the Third Proportional to 10,423.50 and 16,252.50

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Solution

The third proportional to 10,423.50 and 16,252.50 is: 25,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.50 : 16,252.50 = 16,252.50 : x
  2. Step 2: Convert to fraction form
    10,423.50/16,252.50 = 16,252.50/x
  3. Step 3: Cross multiply
    10,423.50x = 16,252.50 × 16,252.50
  4. Step 4: Simplify right side
    10,423.50x = 264,143,756.25
  5. Step 5: Solve for x
    x = 264,143,756.25/10,423.50
  6. Step 6: Final answer
    x = 25,341.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.