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Finding the Third Proportional to 29,998.69 and 43,903.69

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Solution

The third proportional to 29,998.69 and 43,903.69 is: 64,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,998.69 : 43,903.69 = 43,903.69 : x
  2. Step 2: Convert to fraction form
    29,998.69/43,903.69 = 43,903.69/x
  3. Step 3: Cross multiply
    29,998.69x = 43,903.69 × 43,903.69
  4. Step 4: Simplify right side
    29,998.69x = 1,927,533,776.10
  5. Step 5: Solve for x
    x = 1,927,533,776.10/29,998.69
  6. Step 6: Final answer
    x = 64,253.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.