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Finding the Third Proportional to 17,203.64 and 25,141.64

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Solution

The third proportional to 17,203.64 and 25,141.64 is: 36,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203.64 : 25,141.64 = 25,141.64 : x
  2. Step 2: Convert to fraction form
    17,203.64/25,141.64 = 25,141.64/x
  3. Step 3: Cross multiply
    17,203.64x = 25,141.64 × 25,141.64
  4. Step 4: Simplify right side
    17,203.64x = 632,102,093.32
  5. Step 5: Solve for x
    x = 632,102,093.32/17,203.64
  6. Step 6: Final answer
    x = 36,742.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.