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Finding the Third Proportional to 34,920.70 and 53,506.83

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Solution

The third proportional to 34,920.70 and 53,506.83 is: 81,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,920.70 : 53,506.83 = 53,506.83 : x
  2. Step 2: Convert to fraction form
    34,920.70/53,506.83 = 53,506.83/x
  3. Step 3: Cross multiply
    34,920.70x = 53,506.83 × 53,506.83
  4. Step 4: Simplify right side
    34,920.70x = 2,862,980,656.00
  5. Step 5: Solve for x
    x = 2,862,980,656.00/34,920.70
  6. Step 6: Final answer
    x = 81,985.20

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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.