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Finding the Third Proportional to 40,207 and 57,700

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Solution

The third proportional to 40,207 and 57,700 is: 82,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,207 : 57,700 = 57,700 : x
  2. Step 2: Convert to fraction form
    40,207/57,700 = 57,700/x
  3. Step 3: Cross multiply
    40,207x = 57,700 × 57,700
  4. Step 4: Simplify right side
    40,207x = 3,329,290,000
  5. Step 5: Solve for x
    x = 3,329,290,000/40,207
  6. Step 6: Final answer
    x = 82,803.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.