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Finding the Third Proportional to 14,040.84 and 30,056.06

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Solution

The third proportional to 14,040.84 and 30,056.06 is: 64,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040.84 : 30,056.06 = 30,056.06 : x
  2. Step 2: Convert to fraction form
    14,040.84/30,056.06 = 30,056.06/x
  3. Step 3: Cross multiply
    14,040.84x = 30,056.06 × 30,056.06
  4. Step 4: Simplify right side
    14,040.84x = 903,366,893.00
  5. Step 5: Solve for x
    x = 903,366,893.00/14,040.84
  6. Step 6: Final answer
    x = 64,338.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.