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Finding the Third Proportional to 7,386.19 and 14,149.69

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Solution

The third proportional to 7,386.19 and 14,149.69 is: 27,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.19 : 14,149.69 = 14,149.69 : x
  2. Step 2: Convert to fraction form
    7,386.19/14,149.69 = 14,149.69/x
  3. Step 3: Cross multiply
    7,386.19x = 14,149.69 × 14,149.69
  4. Step 4: Simplify right side
    7,386.19x = 200,213,656.35
  5. Step 5: Solve for x
    x = 200,213,656.35/7,386.19
  6. Step 6: Final answer
    x = 27,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.