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Finding the Third Proportional to 45,501 and 69,838.50

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Solution

The third proportional to 45,501 and 69,838.50 is: 107,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,501 : 69,838.50 = 69,838.50 : x
  2. Step 2: Convert to fraction form
    45,501/69,838.50 = 69,838.50/x
  3. Step 3: Cross multiply
    45,501x = 69,838.50 × 69,838.50
  4. Step 4: Simplify right side
    45,501x = 4,877,416,082.25
  5. Step 5: Solve for x
    x = 4,877,416,082.25/45,501
  6. Step 6: Final answer
    x = 107,193.60

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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.