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Finding the Third Proportional to 35,626.50 and 56,410.63

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Solution

The third proportional to 35,626.50 and 56,410.63 is: 89,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,626.50 : 56,410.63 = 56,410.63 : x
  2. Step 2: Convert to fraction form
    35,626.50/56,410.63 = 56,410.63/x
  3. Step 3: Cross multiply
    35,626.50x = 56,410.63 × 56,410.63
  4. Step 4: Simplify right side
    35,626.50x = 3,182,158,612.89
  5. Step 5: Solve for x
    x = 3,182,158,612.89/35,626.50
  6. Step 6: Final answer
    x = 89,319.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.