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Finding the Third Proportional to 35,655.75 and 70,672.50

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Solution

The third proportional to 35,655.75 and 70,672.50 is: 140,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.75 : 70,672.50 = 70,672.50 : x
  2. Step 2: Convert to fraction form
    35,655.75/70,672.50 = 70,672.50/x
  3. Step 3: Cross multiply
    35,655.75x = 70,672.50 × 70,672.50
  4. Step 4: Simplify right side
    35,655.75x = 4,994,602,256.25
  5. Step 5: Solve for x
    x = 4,994,602,256.25/35,655.75
  6. Step 6: Final answer
    x = 140,078.45

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.