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Finding the Third Proportional to 20,465.63 and 30,572.06

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Solution

The third proportional to 20,465.63 and 30,572.06 is: 45,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.63 : 30,572.06 = 30,572.06 : x
  2. Step 2: Convert to fraction form
    20,465.63/30,572.06 = 30,572.06/x
  3. Step 3: Cross multiply
    20,465.63x = 30,572.06 × 30,572.06
  4. Step 4: Simplify right side
    20,465.63x = 934,651,005.50
  5. Step 5: Solve for x
    x = 934,651,005.50/20,465.63
  6. Step 6: Final answer
    x = 45,669.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.