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Finding the Third Proportional to 14,850 and 31,140

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Solution

The third proportional to 14,850 and 31,140 is: 65,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850 : 31,140 = 31,140 : x
  2. Step 2: Convert to fraction form
    14,850/31,140 = 31,140/x
  3. Step 3: Cross multiply
    14,850x = 31,140 × 31,140
  4. Step 4: Simplify right side
    14,850x = 969,699,600
  5. Step 5: Solve for x
    x = 969,699,600/14,850
  6. Step 6: Final answer
    x = 65,299.64

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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.