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Finding the Third Proportional to 18,506.81 and 39,214.13

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Solution

The third proportional to 18,506.81 and 39,214.13 is: 83,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.81 : 39,214.13 = 39,214.13 : x
  2. Step 2: Convert to fraction form
    18,506.81/39,214.13 = 39,214.13/x
  3. Step 3: Cross multiply
    18,506.81x = 39,214.13 × 39,214.13
  4. Step 4: Simplify right side
    18,506.81x = 1,537,747,599.52
  5. Step 5: Solve for x
    x = 1,537,747,599.52/18,506.81
  6. Step 6: Final answer
    x = 83,090.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.