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Finding the Third Proportional to 30,064.50 and 51,322.50

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Solution

The third proportional to 30,064.50 and 51,322.50 is: 87,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,064.50 : 51,322.50 = 51,322.50 : x
  2. Step 2: Convert to fraction form
    30,064.50/51,322.50 = 51,322.50/x
  3. Step 3: Cross multiply
    30,064.50x = 51,322.50 × 51,322.50
  4. Step 4: Simplify right side
    30,064.50x = 2,633,999,006.25
  5. Step 5: Solve for x
    x = 2,633,999,006.25/30,064.50
  6. Step 6: Final answer
    x = 87,611.60

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.