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Finding the Third Proportional to 12,360 and 16,140

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Solution

The third proportional to 12,360 and 16,140 is: 21,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,360 : 16,140 = 16,140 : x
  2. Step 2: Convert to fraction form
    12,360/16,140 = 16,140/x
  3. Step 3: Cross multiply
    12,360x = 16,140 × 16,140
  4. Step 4: Simplify right side
    12,360x = 260,499,600
  5. Step 5: Solve for x
    x = 260,499,600/12,360
  6. Step 6: Final answer
    x = 21,076.02

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.