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Finding the Third Proportional to 14,955 and 21,783.25

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Solution

The third proportional to 14,955 and 21,783.25 is: 31,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,955 : 21,783.25 = 21,783.25 : x
  2. Step 2: Convert to fraction form
    14,955/21,783.25 = 21,783.25/x
  3. Step 3: Cross multiply
    14,955x = 21,783.25 × 21,783.25
  4. Step 4: Simplify right side
    14,955x = 474,509,980.56
  5. Step 5: Solve for x
    x = 474,509,980.56/14,955
  6. Step 6: Final answer
    x = 31,729.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.