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Finding the Third Proportional to 24,534 and 35,922

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Solution

The third proportional to 24,534 and 35,922 is: 52,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 35,922 = 35,922 : x
  2. Step 2: Convert to fraction form
    24,534/35,922 = 35,922/x
  3. Step 3: Cross multiply
    24,534x = 35,922 × 35,922
  4. Step 4: Simplify right side
    24,534x = 1,290,390,084
  5. Step 5: Solve for x
    x = 1,290,390,084/24,534
  6. Step 6: Final answer
    x = 52,595.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.