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Finding the Third Proportional to 30,102 and 45,153

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Solution

The third proportional to 30,102 and 45,153 is: 67,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102 : 45,153 = 45,153 : x
  2. Step 2: Convert to fraction form
    30,102/45,153 = 45,153/x
  3. Step 3: Cross multiply
    30,102x = 45,153 × 45,153
  4. Step 4: Simplify right side
    30,102x = 2,038,793,409
  5. Step 5: Solve for x
    x = 2,038,793,409/30,102
  6. Step 6: Final answer
    x = 67,729.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.