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Finding the Third Proportional to 45,870.75 and 70,527.38

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Solution

The third proportional to 45,870.75 and 70,527.38 is: 108,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,870.75 : 70,527.38 = 70,527.38 : x
  2. Step 2: Convert to fraction form
    45,870.75/70,527.38 = 70,527.38/x
  3. Step 3: Cross multiply
    45,870.75x = 70,527.38 × 70,527.38
  4. Step 4: Simplify right side
    45,870.75x = 4,974,110,624.39
  5. Step 5: Solve for x
    x = 4,974,110,624.39/45,870.75
  6. Step 6: Final answer
    x = 108,437.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.