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Finding the Third Proportional to 35,332.88 and 51,738.75

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Solution

The third proportional to 35,332.88 and 51,738.75 is: 75,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,332.88 : 51,738.75 = 51,738.75 : x
  2. Step 2: Convert to fraction form
    35,332.88/51,738.75 = 51,738.75/x
  3. Step 3: Cross multiply
    35,332.88x = 51,738.75 × 51,738.75
  4. Step 4: Simplify right side
    35,332.88x = 2,676,898,251.56
  5. Step 5: Solve for x
    x = 2,676,898,251.56/35,332.88
  6. Step 6: Final answer
    x = 75,762.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.