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Finding the Third Proportional to 35,106 and 57,316.50

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Solution

The third proportional to 35,106 and 57,316.50 is: 93,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106 : 57,316.50 = 57,316.50 : x
  2. Step 2: Convert to fraction form
    35,106/57,316.50 = 57,316.50/x
  3. Step 3: Cross multiply
    35,106x = 57,316.50 × 57,316.50
  4. Step 4: Simplify right side
    35,106x = 3,285,181,172.25
  5. Step 5: Solve for x
    x = 3,285,181,172.25/35,106
  6. Step 6: Final answer
    x = 93,578.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.