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Finding the Third Proportional to 46,784 and 60,700

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Solution

The third proportional to 46,784 and 60,700 is: 78,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,784 : 60,700 = 60,700 : x
  2. Step 2: Convert to fraction form
    46,784/60,700 = 60,700/x
  3. Step 3: Cross multiply
    46,784x = 60,700 × 60,700
  4. Step 4: Simplify right side
    46,784x = 3,684,490,000
  5. Step 5: Solve for x
    x = 3,684,490,000/46,784
  6. Step 6: Final answer
    x = 78,755.34

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.