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Finding the Third Proportional to 35,971.59 and 56,303.86

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Solution

The third proportional to 35,971.59 and 56,303.86 is: 88,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.59 : 56,303.86 = 56,303.86 : x
  2. Step 2: Convert to fraction form
    35,971.59/56,303.86 = 56,303.86/x
  3. Step 3: Cross multiply
    35,971.59x = 56,303.86 × 56,303.86
  4. Step 4: Simplify right side
    35,971.59x = 3,170,124,580.52
  5. Step 5: Solve for x
    x = 3,170,124,580.52/35,971.59
  6. Step 6: Final answer
    x = 88,128.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.