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Finding the Third Proportional to 9,664.50 and 14,955

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Solution

The third proportional to 9,664.50 and 14,955 is: 23,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.50 : 14,955 = 14,955 : x
  2. Step 2: Convert to fraction form
    9,664.50/14,955 = 14,955/x
  3. Step 3: Cross multiply
    9,664.50x = 14,955 × 14,955
  4. Step 4: Simplify right side
    9,664.50x = 223,652,025
  5. Step 5: Solve for x
    x = 223,652,025/9,664.50
  6. Step 6: Final answer
    x = 23,141.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.