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Finding the Third Proportional to 24,426 and 32,265

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Solution

The third proportional to 24,426 and 32,265 is: 42,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426 : 32,265 = 32,265 : x
  2. Step 2: Convert to fraction form
    24,426/32,265 = 32,265/x
  3. Step 3: Cross multiply
    24,426x = 32,265 × 32,265
  4. Step 4: Simplify right side
    24,426x = 1,041,030,225
  5. Step 5: Solve for x
    x = 1,041,030,225/24,426
  6. Step 6: Final answer
    x = 42,619.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.