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Finding the Third Proportional to 7,907.63 and 12,340.69

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Solution

The third proportional to 7,907.63 and 12,340.69 is: 19,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.63 : 12,340.69 = 12,340.69 : x
  2. Step 2: Convert to fraction form
    7,907.63/12,340.69 = 12,340.69/x
  3. Step 3: Cross multiply
    7,907.63x = 12,340.69 × 12,340.69
  4. Step 4: Simplify right side
    7,907.63x = 152,292,567.97
  5. Step 5: Solve for x
    x = 152,292,567.97/7,907.63
  6. Step 6: Final answer
    x = 19,258.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.