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Finding the Third Proportional to 28,542 and 45,580.50

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Solution

The third proportional to 28,542 and 45,580.50 is: 72,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542 : 45,580.50 = 45,580.50 : x
  2. Step 2: Convert to fraction form
    28,542/45,580.50 = 45,580.50/x
  3. Step 3: Cross multiply
    28,542x = 45,580.50 × 45,580.50
  4. Step 4: Simplify right side
    28,542x = 2,077,581,980.25
  5. Step 5: Solve for x
    x = 2,077,581,980.25/28,542
  6. Step 6: Final answer
    x = 72,790.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.