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Finding the Third Proportional to 35,345.88 and 76,225.75

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Solution

The third proportional to 35,345.88 and 76,225.75 is: 164,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,345.88 : 76,225.75 = 76,225.75 : x
  2. Step 2: Convert to fraction form
    35,345.88/76,225.75 = 76,225.75/x
  3. Step 3: Cross multiply
    35,345.88x = 76,225.75 × 76,225.75
  4. Step 4: Simplify right side
    35,345.88x = 5,810,364,963.06
  5. Step 5: Solve for x
    x = 5,810,364,963.06/35,345.88
  6. Step 6: Final answer
    x = 164,385.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.