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Finding the Third Proportional to 30,628.50 and 64,929

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Solution

The third proportional to 30,628.50 and 64,929 is: 137,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.50 : 64,929 = 64,929 : x
  2. Step 2: Convert to fraction form
    30,628.50/64,929 = 64,929/x
  3. Step 3: Cross multiply
    30,628.50x = 64,929 × 64,929
  4. Step 4: Simplify right side
    30,628.50x = 4,215,775,041
  5. Step 5: Solve for x
    x = 4,215,775,041/30,628.50
  6. Step 6: Final answer
    x = 137,642.23

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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.