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Finding the Third Proportional to 58,350 and 82,570.50

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Solution

The third proportional to 58,350 and 82,570.50 is: 116,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,350 : 82,570.50 = 82,570.50 : x
  2. Step 2: Convert to fraction form
    58,350/82,570.50 = 82,570.50/x
  3. Step 3: Cross multiply
    58,350x = 82,570.50 × 82,570.50
  4. Step 4: Simplify right side
    58,350x = 6,817,887,470.25
  5. Step 5: Solve for x
    x = 6,817,887,470.25/58,350
  6. Step 6: Final answer
    x = 116,844.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.