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Finding the Third Proportional to 40,673.07 and 84,421.62

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Solution

The third proportional to 40,673.07 and 84,421.62 is: 175,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,673.07 : 84,421.62 = 84,421.62 : x
  2. Step 2: Convert to fraction form
    40,673.07/84,421.62 = 84,421.62/x
  3. Step 3: Cross multiply
    40,673.07x = 84,421.62 × 84,421.62
  4. Step 4: Simplify right side
    40,673.07x = 7,127,009,448.55
  5. Step 5: Solve for x
    x = 7,127,009,448.55/40,673.07
  6. Step 6: Final answer
    x = 175,226.72

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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.