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Finding the Third Proportional to 29,073 and 46,111.50

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Solution

The third proportional to 29,073 and 46,111.50 is: 73,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,073 : 46,111.50 = 46,111.50 : x
  2. Step 2: Convert to fraction form
    29,073/46,111.50 = 46,111.50/x
  3. Step 3: Cross multiply
    29,073x = 46,111.50 × 46,111.50
  4. Step 4: Simplify right side
    29,073x = 2,126,270,432.25
  5. Step 5: Solve for x
    x = 2,126,270,432.25/29,073
  6. Step 6: Final answer
    x = 73,135.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.