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Finding the Third Proportional to 2,970.42 and 6,281.93

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Solution

The third proportional to 2,970.42 and 6,281.93 is: 13,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.42 : 6,281.93 = 6,281.93 : x
  2. Step 2: Convert to fraction form
    2,970.42/6,281.93 = 6,281.93/x
  3. Step 3: Cross multiply
    2,970.42x = 6,281.93 × 6,281.93
  4. Step 4: Simplify right side
    2,970.42x = 39,462,640.60
  5. Step 5: Solve for x
    x = 39,462,640.60/2,970.42
  6. Step 6: Final answer
    x = 13,285.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.