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Finding the Third Proportional to 49,068.75 and 77,824.50

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Solution

The third proportional to 49,068.75 and 77,824.50 is: 123,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,068.75 : 77,824.50 = 77,824.50 : x
  2. Step 2: Convert to fraction form
    49,068.75/77,824.50 = 77,824.50/x
  3. Step 3: Cross multiply
    49,068.75x = 77,824.50 × 77,824.50
  4. Step 4: Simplify right side
    49,068.75x = 6,056,652,800.25
  5. Step 5: Solve for x
    x = 6,056,652,800.25/49,068.75
  6. Step 6: Final answer
    x = 123,431.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.