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Finding the Third Proportional to 23,014.13 and 34,085.81

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Solution

The third proportional to 23,014.13 and 34,085.81 is: 50,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.13 : 34,085.81 = 34,085.81 : x
  2. Step 2: Convert to fraction form
    23,014.13/34,085.81 = 34,085.81/x
  3. Step 3: Cross multiply
    23,014.13x = 34,085.81 × 34,085.81
  4. Step 4: Simplify right side
    23,014.13x = 1,161,842,613.79
  5. Step 5: Solve for x
    x = 1,161,842,613.79/23,014.13
  6. Step 6: Final answer
    x = 50,483.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.