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Finding the Third Proportional to 32,360 and 48,492

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Solution

The third proportional to 32,360 and 48,492 is: 72,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,360 : 48,492 = 48,492 : x
  2. Step 2: Convert to fraction form
    32,360/48,492 = 48,492/x
  3. Step 3: Cross multiply
    32,360x = 48,492 × 48,492
  4. Step 4: Simplify right side
    32,360x = 2,351,474,064
  5. Step 5: Solve for x
    x = 2,351,474,064/32,360
  6. Step 6: Final answer
    x = 72,666.07

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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.