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Finding the Third Proportional to 3,051.84 and 6,506.16

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Solution

The third proportional to 3,051.84 and 6,506.16 is: 13,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.84 : 6,506.16 = 6,506.16 : x
  2. Step 2: Convert to fraction form
    3,051.84/6,506.16 = 6,506.16/x
  3. Step 3: Cross multiply
    3,051.84x = 6,506.16 × 6,506.16
  4. Step 4: Simplify right side
    3,051.84x = 42,330,069.15
  5. Step 5: Solve for x
    x = 42,330,069.15/3,051.84
  6. Step 6: Final answer
    x = 13,870.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.