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Finding the Third Proportional to 35,572 and 47,581.50

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Solution

The third proportional to 35,572 and 47,581.50 is: 63,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,572 : 47,581.50 = 47,581.50 : x
  2. Step 2: Convert to fraction form
    35,572/47,581.50 = 47,581.50/x
  3. Step 3: Cross multiply
    35,572x = 47,581.50 × 47,581.50
  4. Step 4: Simplify right side
    35,572x = 2,263,999,142.25
  5. Step 5: Solve for x
    x = 2,263,999,142.25/35,572
  6. Step 6: Final answer
    x = 63,645.54

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.