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Finding the Third Proportional to 30,325.50 and 47,332.50

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Solution

The third proportional to 30,325.50 and 47,332.50 is: 73,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,325.50 : 47,332.50 = 47,332.50 : x
  2. Step 2: Convert to fraction form
    30,325.50/47,332.50 = 47,332.50/x
  3. Step 3: Cross multiply
    30,325.50x = 47,332.50 × 47,332.50
  4. Step 4: Simplify right side
    30,325.50x = 2,240,365,556.25
  5. Step 5: Solve for x
    x = 2,240,365,556.25/30,325.50
  6. Step 6: Final answer
    x = 73,877.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.