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Finding the Third Proportional to 43,574 and 65,187

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Solution

The third proportional to 43,574 and 65,187 is: 97,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,574 : 65,187 = 65,187 : x
  2. Step 2: Convert to fraction form
    43,574/65,187 = 65,187/x
  3. Step 3: Cross multiply
    43,574x = 65,187 × 65,187
  4. Step 4: Simplify right side
    43,574x = 4,249,344,969
  5. Step 5: Solve for x
    x = 4,249,344,969/43,574
  6. Step 6: Final answer
    x = 97,520.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.