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Finding the Third Proportional to 15,146 and 22,655

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Solution

The third proportional to 15,146 and 22,655 is: 33,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146 : 22,655 = 22,655 : x
  2. Step 2: Convert to fraction form
    15,146/22,655 = 22,655/x
  3. Step 3: Cross multiply
    15,146x = 22,655 × 22,655
  4. Step 4: Simplify right side
    15,146x = 513,249,025
  5. Step 5: Solve for x
    x = 513,249,025/15,146
  6. Step 6: Final answer
    x = 33,886.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.