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Finding the Third Proportional to 23,409 and 29,596.50

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Solution

The third proportional to 23,409 and 29,596.50 is: 37,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 29,596.50 = 29,596.50 : x
  2. Step 2: Convert to fraction form
    23,409/29,596.50 = 29,596.50/x
  3. Step 3: Cross multiply
    23,409x = 29,596.50 × 29,596.50
  4. Step 4: Simplify right side
    23,409x = 875,952,812.25
  5. Step 5: Solve for x
    x = 875,952,812.25/23,409
  6. Step 6: Final answer
    x = 37,419.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.