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Finding the Third Proportional to 30,584.25 and 64,854

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Solution

The third proportional to 30,584.25 and 64,854 is: 137,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.25 : 64,854 = 64,854 : x
  2. Step 2: Convert to fraction form
    30,584.25/64,854 = 64,854/x
  3. Step 3: Cross multiply
    30,584.25x = 64,854 × 64,854
  4. Step 4: Simplify right side
    30,584.25x = 4,206,041,316
  5. Step 5: Solve for x
    x = 4,206,041,316/30,584.25
  6. Step 6: Final answer
    x = 137,523.11

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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.