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Finding the Third Proportional to 30,686.34 and 43,466.63

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Solution

The third proportional to 30,686.34 and 43,466.63 is: 61,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.34 : 43,466.63 = 43,466.63 : x
  2. Step 2: Convert to fraction form
    30,686.34/43,466.63 = 43,466.63/x
  3. Step 3: Cross multiply
    30,686.34x = 43,466.63 × 43,466.63
  4. Step 4: Simplify right side
    30,686.34x = 1,889,347,488.89
  5. Step 5: Solve for x
    x = 1,889,347,488.89/30,686.34
  6. Step 6: Final answer
    x = 61,569.65

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.