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Finding the Third Proportional to 19,820 and 27,300

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Solution

The third proportional to 19,820 and 27,300 is: 37,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820 : 27,300 = 27,300 : x
  2. Step 2: Convert to fraction form
    19,820/27,300 = 27,300/x
  3. Step 3: Cross multiply
    19,820x = 27,300 × 27,300
  4. Step 4: Simplify right side
    19,820x = 745,290,000
  5. Step 5: Solve for x
    x = 745,290,000/19,820
  6. Step 6: Final answer
    x = 37,602.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.