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Finding the Third Proportional to 36,224.63 and 78,655.88

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Solution

The third proportional to 36,224.63 and 78,655.88 is: 170,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224.63 : 78,655.88 = 78,655.88 : x
  2. Step 2: Convert to fraction form
    36,224.63/78,655.88 = 78,655.88/x
  3. Step 3: Cross multiply
    36,224.63x = 78,655.88 × 78,655.88
  4. Step 4: Simplify right side
    36,224.63x = 6,186,746,672.02
  5. Step 5: Solve for x
    x = 6,186,746,672.02/36,224.63
  6. Step 6: Final answer
    x = 170,788.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.