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Finding the Third Proportional to 15,639.94 and 23,045.06

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Solution

The third proportional to 15,639.94 and 23,045.06 is: 33,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,639.94 : 23,045.06 = 23,045.06 : x
  2. Step 2: Convert to fraction form
    15,639.94/23,045.06 = 23,045.06/x
  3. Step 3: Cross multiply
    15,639.94x = 23,045.06 × 23,045.06
  4. Step 4: Simplify right side
    15,639.94x = 531,074,905.63
  5. Step 5: Solve for x
    x = 531,074,905.63/15,639.94
  6. Step 6: Final answer
    x = 33,956.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.