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Finding the Third Proportional to 15,700 and 21,306

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Solution

The third proportional to 15,700 and 21,306 is: 28,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700 : 21,306 = 21,306 : x
  2. Step 2: Convert to fraction form
    15,700/21,306 = 21,306/x
  3. Step 3: Cross multiply
    15,700x = 21,306 × 21,306
  4. Step 4: Simplify right side
    15,700x = 453,945,636
  5. Step 5: Solve for x
    x = 453,945,636/15,700
  6. Step 6: Final answer
    x = 28,913.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.