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Finding the Third Proportional to 46,281 and 67,693.50

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Solution

The third proportional to 46,281 and 67,693.50 is: 99,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281 : 67,693.50 = 67,693.50 : x
  2. Step 2: Convert to fraction form
    46,281/67,693.50 = 67,693.50/x
  3. Step 3: Cross multiply
    46,281x = 67,693.50 × 67,693.50
  4. Step 4: Simplify right side
    46,281x = 4,582,409,942.25
  5. Step 5: Solve for x
    x = 4,582,409,942.25/46,281
  6. Step 6: Final answer
    x = 99,012.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.