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Finding the Third Proportional to 32,025 and 48,140

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Solution

The third proportional to 32,025 and 48,140 is: 72,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025 : 48,140 = 48,140 : x
  2. Step 2: Convert to fraction form
    32,025/48,140 = 48,140/x
  3. Step 3: Cross multiply
    32,025x = 48,140 × 48,140
  4. Step 4: Simplify right side
    32,025x = 2,317,459,600
  5. Step 5: Solve for x
    x = 2,317,459,600/32,025
  6. Step 6: Final answer
    x = 72,364.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.