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Finding the Third Proportional to 40,602 and 57,946.50

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Solution

The third proportional to 40,602 and 57,946.50 is: 82,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,602 : 57,946.50 = 57,946.50 : x
  2. Step 2: Convert to fraction form
    40,602/57,946.50 = 57,946.50/x
  3. Step 3: Cross multiply
    40,602x = 57,946.50 × 57,946.50
  4. Step 4: Simplify right side
    40,602x = 3,357,796,862.25
  5. Step 5: Solve for x
    x = 3,357,796,862.25/40,602
  6. Step 6: Final answer
    x = 82,700.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.