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Finding the Third Proportional to 6,140.25 and 14,421.38

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Solution

The third proportional to 6,140.25 and 14,421.38 is: 33,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.25 : 14,421.38 = 14,421.38 : x
  2. Step 2: Convert to fraction form
    6,140.25/14,421.38 = 14,421.38/x
  3. Step 3: Cross multiply
    6,140.25x = 14,421.38 × 14,421.38
  4. Step 4: Simplify right side
    6,140.25x = 207,976,056.89
  5. Step 5: Solve for x
    x = 207,976,056.89/6,140.25
  6. Step 6: Final answer
    x = 33,870.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.