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Finding the Third Proportional to 19,970.30 and 30,006.07

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Solution

The third proportional to 19,970.30 and 30,006.07 is: 45,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.30 : 30,006.07 = 30,006.07 : x
  2. Step 2: Convert to fraction form
    19,970.30/30,006.07 = 30,006.07/x
  3. Step 3: Cross multiply
    19,970.30x = 30,006.07 × 30,006.07
  4. Step 4: Simplify right side
    19,970.30x = 900,364,255.60
  5. Step 5: Solve for x
    x = 900,364,255.60/19,970.30
  6. Step 6: Final answer
    x = 45,085.17

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