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Finding the Third Proportional to 29,178 and 45,859.50

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Solution

The third proportional to 29,178 and 45,859.50 is: 72,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178 : 45,859.50 = 45,859.50 : x
  2. Step 2: Convert to fraction form
    29,178/45,859.50 = 45,859.50/x
  3. Step 3: Cross multiply
    29,178x = 45,859.50 × 45,859.50
  4. Step 4: Simplify right side
    29,178x = 2,103,093,740.25
  5. Step 5: Solve for x
    x = 2,103,093,740.25/29,178
  6. Step 6: Final answer
    x = 72,078.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.