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Finding the Third Proportional to 29,560 and 43,475.63

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Solution

The third proportional to 29,560 and 43,475.63 is: 63,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,560 : 43,475.63 = 43,475.63 : x
  2. Step 2: Convert to fraction form
    29,560/43,475.63 = 43,475.63/x
  3. Step 3: Cross multiply
    29,560x = 43,475.63 × 43,475.63
  4. Step 4: Simplify right side
    29,560x = 1,890,129,969.14
  5. Step 5: Solve for x
    x = 1,890,129,969.14/29,560
  6. Step 6: Final answer
    x = 63,942.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.