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Finding the Third Proportional to 35,904.50 and 54,829

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Solution

The third proportional to 35,904.50 and 54,829 is: 83,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,904.50 : 54,829 = 54,829 : x
  2. Step 2: Convert to fraction form
    35,904.50/54,829 = 54,829/x
  3. Step 3: Cross multiply
    35,904.50x = 54,829 × 54,829
  4. Step 4: Simplify right side
    35,904.50x = 3,006,219,241
  5. Step 5: Solve for x
    x = 3,006,219,241/35,904.50
  6. Step 6: Final answer
    x = 83,728.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.