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Finding the Third Proportional to 30,816 and 47,530.50

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Solution

The third proportional to 30,816 and 47,530.50 is: 73,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 47,530.50 = 47,530.50 : x
  2. Step 2: Convert to fraction form
    30,816/47,530.50 = 47,530.50/x
  3. Step 3: Cross multiply
    30,816x = 47,530.50 × 47,530.50
  4. Step 4: Simplify right side
    30,816x = 2,259,148,430.25
  5. Step 5: Solve for x
    x = 2,259,148,430.25/30,816
  6. Step 6: Final answer
    x = 73,310.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.