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Finding the Third Proportional to 30,013.50 and 52,966.50

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Solution

The third proportional to 30,013.50 and 52,966.50 is: 93,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.50 : 52,966.50 = 52,966.50 : x
  2. Step 2: Convert to fraction form
    30,013.50/52,966.50 = 52,966.50/x
  3. Step 3: Cross multiply
    30,013.50x = 52,966.50 × 52,966.50
  4. Step 4: Simplify right side
    30,013.50x = 2,805,450,122.25
  5. Step 5: Solve for x
    x = 2,805,450,122.25/30,013.50
  6. Step 6: Final answer
    x = 93,472.94

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.