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Finding the Third Proportional to 7,580 and 14,956

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Solution

The third proportional to 7,580 and 14,956 is: 29,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580 : 14,956 = 14,956 : x
  2. Step 2: Convert to fraction form
    7,580/14,956 = 14,956/x
  3. Step 3: Cross multiply
    7,580x = 14,956 × 14,956
  4. Step 4: Simplify right side
    7,580x = 223,681,936
  5. Step 5: Solve for x
    x = 223,681,936/7,580
  6. Step 6: Final answer
    x = 29,509.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.