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Finding the Third Proportional to 7,448.63 and 10,967.06

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Solution

The third proportional to 7,448.63 and 10,967.06 is: 16,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.63 : 10,967.06 = 10,967.06 : x
  2. Step 2: Convert to fraction form
    7,448.63/10,967.06 = 10,967.06/x
  3. Step 3: Cross multiply
    7,448.63x = 10,967.06 × 10,967.06
  4. Step 4: Simplify right side
    7,448.63x = 120,276,459.88
  5. Step 5: Solve for x
    x = 120,276,459.88/7,448.63
  6. Step 6: Final answer
    x = 16,147.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.