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Finding the Third Proportional to 45,876.50 and 70,902.50

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Solution

The third proportional to 45,876.50 and 70,902.50 is: 109,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,876.50 : 70,902.50 = 70,902.50 : x
  2. Step 2: Convert to fraction form
    45,876.50/70,902.50 = 70,902.50/x
  3. Step 3: Cross multiply
    45,876.50x = 70,902.50 × 70,902.50
  4. Step 4: Simplify right side
    45,876.50x = 5,027,164,506.25
  5. Step 5: Solve for x
    x = 5,027,164,506.25/45,876.50
  6. Step 6: Final answer
    x = 109,580.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.