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Finding the Third Proportional to 14,346 and 22,905

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Solution

The third proportional to 14,346 and 22,905 is: 36,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346 : 22,905 = 22,905 : x
  2. Step 2: Convert to fraction form
    14,346/22,905 = 22,905/x
  3. Step 3: Cross multiply
    14,346x = 22,905 × 22,905
  4. Step 4: Simplify right side
    14,346x = 524,639,025
  5. Step 5: Solve for x
    x = 524,639,025/14,346
  6. Step 6: Final answer
    x = 36,570.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.