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Finding the Third Proportional to 15,777 and 24,429

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Solution

The third proportional to 15,777 and 24,429 is: 37,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 24,429 = 24,429 : x
  2. Step 2: Convert to fraction form
    15,777/24,429 = 24,429/x
  3. Step 3: Cross multiply
    15,777x = 24,429 × 24,429
  4. Step 4: Simplify right side
    15,777x = 596,776,041
  5. Step 5: Solve for x
    x = 596,776,041/15,777
  6. Step 6: Final answer
    x = 37,825.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.