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Finding the Third Proportional to 8,707.42 and 13,080.35

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Solution

The third proportional to 8,707.42 and 13,080.35 is: 19,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.42 : 13,080.35 = 13,080.35 : x
  2. Step 2: Convert to fraction form
    8,707.42/13,080.35 = 13,080.35/x
  3. Step 3: Cross multiply
    8,707.42x = 13,080.35 × 13,080.35
  4. Step 4: Simplify right side
    8,707.42x = 171,095,635.32
  5. Step 5: Solve for x
    x = 171,095,635.32/8,707.42
  6. Step 6: Final answer
    x = 19,649.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.