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Finding the Third Proportional to 6,537 and 15,429

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Solution

The third proportional to 6,537 and 15,429 is: 36,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 15,429 = 15,429 : x
  2. Step 2: Convert to fraction form
    6,537/15,429 = 15,429/x
  3. Step 3: Cross multiply
    6,537x = 15,429 × 15,429
  4. Step 4: Simplify right side
    6,537x = 238,054,041
  5. Step 5: Solve for x
    x = 238,054,041/6,537
  6. Step 6: Final answer
    x = 36,416.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.