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Finding the Third Proportional to 35,729.44 and 52,501.50

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Solution

The third proportional to 35,729.44 and 52,501.50 is: 77,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,729.44 : 52,501.50 = 52,501.50 : x
  2. Step 2: Convert to fraction form
    35,729.44/52,501.50 = 52,501.50/x
  3. Step 3: Cross multiply
    35,729.44x = 52,501.50 × 52,501.50
  4. Step 4: Simplify right side
    35,729.44x = 2,756,407,502.25
  5. Step 5: Solve for x
    x = 2,756,407,502.25/35,729.44
  6. Step 6: Final answer
    x = 77,146.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.