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Finding the Third Proportional to 38,020 and 56,706

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Solution

The third proportional to 38,020 and 56,706 is: 84,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,020 : 56,706 = 56,706 : x
  2. Step 2: Convert to fraction form
    38,020/56,706 = 56,706/x
  3. Step 3: Cross multiply
    38,020x = 56,706 × 56,706
  4. Step 4: Simplify right side
    38,020x = 3,215,570,436
  5. Step 5: Solve for x
    x = 3,215,570,436/38,020
  6. Step 6: Final answer
    x = 84,575.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.