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Finding the Third Proportional to 29,014.88 and 39,146.63

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Solution

The third proportional to 29,014.88 and 39,146.63 is: 52,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,014.88 : 39,146.63 = 39,146.63 : x
  2. Step 2: Convert to fraction form
    29,014.88/39,146.63 = 39,146.63/x
  3. Step 3: Cross multiply
    29,014.88x = 39,146.63 × 39,146.63
  4. Step 4: Simplify right side
    29,014.88x = 1,532,458,248.89
  5. Step 5: Solve for x
    x = 1,532,458,248.89/29,014.88
  6. Step 6: Final answer
    x = 52,816.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.