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Finding the Third Proportional to 35,964 and 48,073.50

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Solution

The third proportional to 35,964 and 48,073.50 is: 64,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964 : 48,073.50 = 48,073.50 : x
  2. Step 2: Convert to fraction form
    35,964/48,073.50 = 48,073.50/x
  3. Step 3: Cross multiply
    35,964x = 48,073.50 × 48,073.50
  4. Step 4: Simplify right side
    35,964x = 2,311,061,402.25
  5. Step 5: Solve for x
    x = 2,311,061,402.25/35,964
  6. Step 6: Final answer
    x = 64,260.41

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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.