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Finding the Third Proportional to 7,190 and 10,272

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Solution

The third proportional to 7,190 and 10,272 is: 14,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190 : 10,272 = 10,272 : x
  2. Step 2: Convert to fraction form
    7,190/10,272 = 10,272/x
  3. Step 3: Cross multiply
    7,190x = 10,272 × 10,272
  4. Step 4: Simplify right side
    7,190x = 105,513,984
  5. Step 5: Solve for x
    x = 105,513,984/7,190
  6. Step 6: Final answer
    x = 14,675.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.