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Finding the Third Proportional to 6,464.60 and 9,884.95

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Solution

The third proportional to 6,464.60 and 9,884.95 is: 15,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.60 : 9,884.95 = 9,884.95 : x
  2. Step 2: Convert to fraction form
    6,464.60/9,884.95 = 9,884.95/x
  3. Step 3: Cross multiply
    6,464.60x = 9,884.95 × 9,884.95
  4. Step 4: Simplify right side
    6,464.60x = 97,712,298.28
  5. Step 5: Solve for x
    x = 97,712,298.28/6,464.60
  6. Step 6: Final answer
    x = 15,114.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.