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Finding the Third Proportional to 32,703.75 and 70,635.94

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Solution

The third proportional to 32,703.75 and 70,635.94 is: 152,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,703.75 : 70,635.94 = 70,635.94 : x
  2. Step 2: Convert to fraction form
    32,703.75/70,635.94 = 70,635.94/x
  3. Step 3: Cross multiply
    32,703.75x = 70,635.94 × 70,635.94
  4. Step 4: Simplify right side
    32,703.75x = 4,989,435,666.50
  5. Step 5: Solve for x
    x = 4,989,435,666.50/32,703.75
  6. Step 6: Final answer
    x = 152,564.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.