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Finding the Third Proportional to 19,390 and 42,590

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Solution

The third proportional to 19,390 and 42,590 is: 93,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,390 : 42,590 = 42,590 : x
  2. Step 2: Convert to fraction form
    19,390/42,590 = 42,590/x
  3. Step 3: Cross multiply
    19,390x = 42,590 × 42,590
  4. Step 4: Simplify right side
    19,390x = 1,813,908,100
  5. Step 5: Solve for x
    x = 1,813,908,100/19,390
  6. Step 6: Final answer
    x = 93,548.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.