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Finding the Third Proportional to 30,802.50 and 47,133

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Solution

The third proportional to 30,802.50 and 47,133 is: 72,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.50 : 47,133 = 47,133 : x
  2. Step 2: Convert to fraction form
    30,802.50/47,133 = 47,133/x
  3. Step 3: Cross multiply
    30,802.50x = 47,133 × 47,133
  4. Step 4: Simplify right side
    30,802.50x = 2,221,519,689
  5. Step 5: Solve for x
    x = 2,221,519,689/30,802.50
  6. Step 6: Final answer
    x = 72,121.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.