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Finding the Third Proportional to 7,872 and 19,038

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Solution

The third proportional to 7,872 and 19,038 is: 46,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 19,038 = 19,038 : x
  2. Step 2: Convert to fraction form
    7,872/19,038 = 19,038/x
  3. Step 3: Cross multiply
    7,872x = 19,038 × 19,038
  4. Step 4: Simplify right side
    7,872x = 362,445,444
  5. Step 5: Solve for x
    x = 362,445,444/7,872
  6. Step 6: Final answer
    x = 46,042.36

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.