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Finding the Third Proportional to 13,010 and 19,028

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Solution

The third proportional to 13,010 and 19,028 is: 27,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010 : 19,028 = 19,028 : x
  2. Step 2: Convert to fraction form
    13,010/19,028 = 19,028/x
  3. Step 3: Cross multiply
    13,010x = 19,028 × 19,028
  4. Step 4: Simplify right side
    13,010x = 362,064,784
  5. Step 5: Solve for x
    x = 362,064,784/13,010
  6. Step 6: Final answer
    x = 27,829.73

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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.