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Finding the Third Proportional to 15,266 and 23,658

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Solution

The third proportional to 15,266 and 23,658 is: 36,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266 : 23,658 = 23,658 : x
  2. Step 2: Convert to fraction form
    15,266/23,658 = 23,658/x
  3. Step 3: Cross multiply
    15,266x = 23,658 × 23,658
  4. Step 4: Simplify right side
    15,266x = 559,700,964
  5. Step 5: Solve for x
    x = 559,700,964/15,266
  6. Step 6: Final answer
    x = 36,663.24

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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.