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Finding the Third Proportional to 35,848.50 and 55,689.75

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Solution

The third proportional to 35,848.50 and 55,689.75 is: 86,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,848.50 : 55,689.75 = 55,689.75 : x
  2. Step 2: Convert to fraction form
    35,848.50/55,689.75 = 55,689.75/x
  3. Step 3: Cross multiply
    35,848.50x = 55,689.75 × 55,689.75
  4. Step 4: Simplify right side
    35,848.50x = 3,101,348,255.06
  5. Step 5: Solve for x
    x = 3,101,348,255.06/35,848.50
  6. Step 6: Final answer
    x = 86,512.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.