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Finding the Third Proportional to 14,925 and 32,955

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Solution

The third proportional to 14,925 and 32,955 is: 72,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925 : 32,955 = 32,955 : x
  2. Step 2: Convert to fraction form
    14,925/32,955 = 32,955/x
  3. Step 3: Cross multiply
    14,925x = 32,955 × 32,955
  4. Step 4: Simplify right side
    14,925x = 1,086,032,025
  5. Step 5: Solve for x
    x = 1,086,032,025/14,925
  6. Step 6: Final answer
    x = 72,765.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.