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Finding the Third Proportional to 40,833 and 58,513.50

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Solution

The third proportional to 40,833 and 58,513.50 is: 83,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,833 : 58,513.50 = 58,513.50 : x
  2. Step 2: Convert to fraction form
    40,833/58,513.50 = 58,513.50/x
  3. Step 3: Cross multiply
    40,833x = 58,513.50 × 58,513.50
  4. Step 4: Simplify right side
    40,833x = 3,423,829,682.25
  5. Step 5: Solve for x
    x = 3,423,829,682.25/40,833
  6. Step 6: Final answer
    x = 83,849.57

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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.