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Finding the Third Proportional to 14,148 and 29,457.84

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Solution

The third proportional to 14,148 and 29,457.84 is: 61,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148 : 29,457.84 = 29,457.84 : x
  2. Step 2: Convert to fraction form
    14,148/29,457.84 = 29,457.84/x
  3. Step 3: Cross multiply
    14,148x = 29,457.84 × 29,457.84
  4. Step 4: Simplify right side
    14,148x = 867,764,558.40
  5. Step 5: Solve for x
    x = 867,764,558.40/14,148
  6. Step 6: Final answer
    x = 61,334.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.