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Finding the Third Proportional to 30,433 and 48,289.50

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Solution

The third proportional to 30,433 and 48,289.50 is: 76,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433 : 48,289.50 = 48,289.50 : x
  2. Step 2: Convert to fraction form
    30,433/48,289.50 = 48,289.50/x
  3. Step 3: Cross multiply
    30,433x = 48,289.50 × 48,289.50
  4. Step 4: Simplify right side
    30,433x = 2,331,875,810.25
  5. Step 5: Solve for x
    x = 2,331,875,810.25/30,433
  6. Step 6: Final answer
    x = 76,623.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.