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Finding the Third Proportional to 14,780 and 31,110

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Solution

The third proportional to 14,780 and 31,110 is: 65,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780 : 31,110 = 31,110 : x
  2. Step 2: Convert to fraction form
    14,780/31,110 = 31,110/x
  3. Step 3: Cross multiply
    14,780x = 31,110 × 31,110
  4. Step 4: Simplify right side
    14,780x = 967,832,100
  5. Step 5: Solve for x
    x = 967,832,100/14,780
  6. Step 6: Final answer
    x = 65,482.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.