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Finding the Third Proportional to 32,468 and 48,574

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Solution

The third proportional to 32,468 and 48,574 is: 72,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468 : 48,574 = 48,574 : x
  2. Step 2: Convert to fraction form
    32,468/48,574 = 48,574/x
  3. Step 3: Cross multiply
    32,468x = 48,574 × 48,574
  4. Step 4: Simplify right side
    32,468x = 2,359,433,476
  5. Step 5: Solve for x
    x = 2,359,433,476/32,468
  6. Step 6: Final answer
    x = 72,669.50

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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.