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Finding the Third Proportional to 9,467.48 and 14,397.93

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Solution

The third proportional to 9,467.48 and 14,397.93 is: 21,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.48 : 14,397.93 = 14,397.93 : x
  2. Step 2: Convert to fraction form
    9,467.48/14,397.93 = 14,397.93/x
  3. Step 3: Cross multiply
    9,467.48x = 14,397.93 × 14,397.93
  4. Step 4: Simplify right side
    9,467.48x = 207,300,330.07
  5. Step 5: Solve for x
    x = 207,300,330.07/9,467.48
  6. Step 6: Final answer
    x = 21,896.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.