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Finding the Third Proportional to 10,495 and 16,247.50

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Solution

The third proportional to 10,495 and 16,247.50 is: 25,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495 : 16,247.50 = 16,247.50 : x
  2. Step 2: Convert to fraction form
    10,495/16,247.50 = 16,247.50/x
  3. Step 3: Cross multiply
    10,495x = 16,247.50 × 16,247.50
  4. Step 4: Simplify right side
    10,495x = 263,981,256.25
  5. Step 5: Solve for x
    x = 263,981,256.25/10,495
  6. Step 6: Final answer
    x = 25,153.05

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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.