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Finding the Third Proportional to 7,946.44 and 10,907.16

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Solution

The third proportional to 7,946.44 and 10,907.16 is: 14,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.44 : 10,907.16 = 10,907.16 : x
  2. Step 2: Convert to fraction form
    7,946.44/10,907.16 = 10,907.16/x
  3. Step 3: Cross multiply
    7,946.44x = 10,907.16 × 10,907.16
  4. Step 4: Simplify right side
    7,946.44x = 118,966,057.46
  5. Step 5: Solve for x
    x = 118,966,057.46/7,946.44
  6. Step 6: Final answer
    x = 14,970.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.