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Finding the Third Proportional to 27,030 and 58,038

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Solution

The third proportional to 27,030 and 58,038 is: 124,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030 : 58,038 = 58,038 : x
  2. Step 2: Convert to fraction form
    27,030/58,038 = 58,038/x
  3. Step 3: Cross multiply
    27,030x = 58,038 × 58,038
  4. Step 4: Simplify right side
    27,030x = 3,368,409,444
  5. Step 5: Solve for x
    x = 3,368,409,444/27,030
  6. Step 6: Final answer
    x = 124,617.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.