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Finding the Third Proportional to 35,750.25 and 70,602.75

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Solution

The third proportional to 35,750.25 and 70,602.75 is: 139,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,750.25 : 70,602.75 = 70,602.75 : x
  2. Step 2: Convert to fraction form
    35,750.25/70,602.75 = 70,602.75/x
  3. Step 3: Cross multiply
    35,750.25x = 70,602.75 × 70,602.75
  4. Step 4: Simplify right side
    35,750.25x = 4,984,748,307.56
  5. Step 5: Solve for x
    x = 4,984,748,307.56/35,750.25
  6. Step 6: Final answer
    x = 139,432.54

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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.