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Finding the Third Proportional to 54,826.88 and 80,294.63

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Solution

The third proportional to 54,826.88 and 80,294.63 is: 117,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,826.88 : 80,294.63 = 80,294.63 : x
  2. Step 2: Convert to fraction form
    54,826.88/80,294.63 = 80,294.63/x
  3. Step 3: Cross multiply
    54,826.88x = 80,294.63 × 80,294.63
  4. Step 4: Simplify right side
    54,826.88x = 6,447,226,803.89
  5. Step 5: Solve for x
    x = 6,447,226,803.89/54,826.88
  6. Step 6: Final answer
    x = 117,592.45

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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.