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Finding the Third Proportional to 4,973.63 and 6,972.19

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Solution

The third proportional to 4,973.63 and 6,972.19 is: 9,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.63 : 6,972.19 = 6,972.19 : x
  2. Step 2: Convert to fraction form
    4,973.63/6,972.19 = 6,972.19/x
  3. Step 3: Cross multiply
    4,973.63x = 6,972.19 × 6,972.19
  4. Step 4: Simplify right side
    4,973.63x = 48,611,398.54
  5. Step 5: Solve for x
    x = 48,611,398.54/4,973.63
  6. Step 6: Final answer
    x = 9,773.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.