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Finding the Third Proportional to 45,946.13 and 69,612

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Solution

The third proportional to 45,946.13 and 69,612 is: 105,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,946.13 : 69,612 = 69,612 : x
  2. Step 2: Convert to fraction form
    45,946.13/69,612 = 69,612/x
  3. Step 3: Cross multiply
    45,946.13x = 69,612 × 69,612
  4. Step 4: Simplify right side
    45,946.13x = 4,845,830,544
  5. Step 5: Solve for x
    x = 4,845,830,544/45,946.13
  6. Step 6: Final answer
    x = 105,467.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.