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Finding the Third Proportional to 34,406.81 and 52,085.95

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Solution

The third proportional to 34,406.81 and 52,085.95 is: 78,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.81 : 52,085.95 = 52,085.95 : x
  2. Step 2: Convert to fraction form
    34,406.81/52,085.95 = 52,085.95/x
  3. Step 3: Cross multiply
    34,406.81x = 52,085.95 × 52,085.95
  4. Step 4: Simplify right side
    34,406.81x = 2,712,945,826.26
  5. Step 5: Solve for x
    x = 2,712,945,826.26/34,406.81
  6. Step 6: Final answer
    x = 78,849.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.