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Finding the Third Proportional to 32,451 and 70,409

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Solution

The third proportional to 32,451 and 70,409 is: 152,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451 : 70,409 = 70,409 : x
  2. Step 2: Convert to fraction form
    32,451/70,409 = 70,409/x
  3. Step 3: Cross multiply
    32,451x = 70,409 × 70,409
  4. Step 4: Simplify right side
    32,451x = 4,957,427,281
  5. Step 5: Solve for x
    x = 4,957,427,281/32,451
  6. Step 6: Final answer
    x = 152,766.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.