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Finding the Third Proportional to 14,788 and 23,411

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Solution

The third proportional to 14,788 and 23,411 is: 37,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788 : 23,411 = 23,411 : x
  2. Step 2: Convert to fraction form
    14,788/23,411 = 23,411/x
  3. Step 3: Cross multiply
    14,788x = 23,411 × 23,411
  4. Step 4: Simplify right side
    14,788x = 548,074,921
  5. Step 5: Solve for x
    x = 548,074,921/14,788
  6. Step 6: Final answer
    x = 37,062.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.