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Finding the Third Proportional to 45,117 and 51,313.50

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Solution

The third proportional to 45,117 and 51,313.50 is: 58,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,117 : 51,313.50 = 51,313.50 : x
  2. Step 2: Convert to fraction form
    45,117/51,313.50 = 51,313.50/x
  3. Step 3: Cross multiply
    45,117x = 51,313.50 × 51,313.50
  4. Step 4: Simplify right side
    45,117x = 2,633,075,282.25
  5. Step 5: Solve for x
    x = 2,633,075,282.25/45,117
  6. Step 6: Final answer
    x = 58,361.05

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.