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Finding the Third Proportional to 19,030 and 40,988

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Solution

The third proportional to 19,030 and 40,988 is: 88,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,030 : 40,988 = 40,988 : x
  2. Step 2: Convert to fraction form
    19,030/40,988 = 40,988/x
  3. Step 3: Cross multiply
    19,030x = 40,988 × 40,988
  4. Step 4: Simplify right side
    19,030x = 1,680,016,144
  5. Step 5: Solve for x
    x = 1,680,016,144/19,030
  6. Step 6: Final answer
    x = 88,282.51

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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.