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Finding the Third Proportional to 34,706.81 and 47,030.63

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Solution

The third proportional to 34,706.81 and 47,030.63 is: 63,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.81 : 47,030.63 = 47,030.63 : x
  2. Step 2: Convert to fraction form
    34,706.81/47,030.63 = 47,030.63/x
  3. Step 3: Cross multiply
    34,706.81x = 47,030.63 × 47,030.63
  4. Step 4: Simplify right side
    34,706.81x = 2,211,879,687.89
  5. Step 5: Solve for x
    x = 2,211,879,687.89/34,706.81
  6. Step 6: Final answer
    x = 63,730.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.