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Finding the Third Proportional to 25,095 and 49,555.50

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Solution

The third proportional to 25,095 and 49,555.50 is: 97,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,095 : 49,555.50 = 49,555.50 : x
  2. Step 2: Convert to fraction form
    25,095/49,555.50 = 49,555.50/x
  3. Step 3: Cross multiply
    25,095x = 49,555.50 × 49,555.50
  4. Step 4: Simplify right side
    25,095x = 2,455,747,580.25
  5. Step 5: Solve for x
    x = 2,455,747,580.25/25,095
  6. Step 6: Final answer
    x = 97,858.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.