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Finding the Third Proportional to 45,438 and 69,597

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Solution

The third proportional to 45,438 and 69,597 is: 106,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,438 : 69,597 = 69,597 : x
  2. Step 2: Convert to fraction form
    45,438/69,597 = 69,597/x
  3. Step 3: Cross multiply
    45,438x = 69,597 × 69,597
  4. Step 4: Simplify right side
    45,438x = 4,843,742,409
  5. Step 5: Solve for x
    x = 4,843,742,409/45,438
  6. Step 6: Final answer
    x = 106,601.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.