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Finding the Third Proportional to 5,477.58 and 8,943.40

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Solution

The third proportional to 5,477.58 and 8,943.40 is: 14,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.58 : 8,943.40 = 8,943.40 : x
  2. Step 2: Convert to fraction form
    5,477.58/8,943.40 = 8,943.40/x
  3. Step 3: Cross multiply
    5,477.58x = 8,943.40 × 8,943.40
  4. Step 4: Simplify right side
    5,477.58x = 79,984,375.61
  5. Step 5: Solve for x
    x = 79,984,375.61/5,477.58
  6. Step 6: Final answer
    x = 14,602.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.