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Finding the Third Proportional to 30,028.50 and 45,658.50

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Solution

The third proportional to 30,028.50 and 45,658.50 is: 69,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,028.50 : 45,658.50 = 45,658.50 : x
  2. Step 2: Convert to fraction form
    30,028.50/45,658.50 = 45,658.50/x
  3. Step 3: Cross multiply
    30,028.50x = 45,658.50 × 45,658.50
  4. Step 4: Simplify right side
    30,028.50x = 2,084,698,622.25
  5. Step 5: Solve for x
    x = 2,084,698,622.25/30,028.50
  6. Step 6: Final answer
    x = 69,424.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.