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Finding the Third Proportional to 17,302.36 and 24,742.20

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Solution

The third proportional to 17,302.36 and 24,742.20 is: 35,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.36 : 24,742.20 = 24,742.20 : x
  2. Step 2: Convert to fraction form
    17,302.36/24,742.20 = 24,742.20/x
  3. Step 3: Cross multiply
    17,302.36x = 24,742.20 × 24,742.20
  4. Step 4: Simplify right side
    17,302.36x = 612,176,228.88
  5. Step 5: Solve for x
    x = 612,176,228.88/17,302.36
  6. Step 6: Final answer
    x = 35,381.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.