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Finding the Third Proportional to 32,316 and 48,508

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Solution

The third proportional to 32,316 and 48,508 is: 72,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,316 : 48,508 = 48,508 : x
  2. Step 2: Convert to fraction form
    32,316/48,508 = 48,508/x
  3. Step 3: Cross multiply
    32,316x = 48,508 × 48,508
  4. Step 4: Simplify right side
    32,316x = 2,353,026,064
  5. Step 5: Solve for x
    x = 2,353,026,064/32,316
  6. Step 6: Final answer
    x = 72,813.04

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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.