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Finding the Third Proportional to 14,768 and 22,617

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Solution

The third proportional to 14,768 and 22,617 is: 34,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768 : 22,617 = 22,617 : x
  2. Step 2: Convert to fraction form
    14,768/22,617 = 22,617/x
  3. Step 3: Cross multiply
    14,768x = 22,617 × 22,617
  4. Step 4: Simplify right side
    14,768x = 511,528,689
  5. Step 5: Solve for x
    x = 511,528,689/14,768
  6. Step 6: Final answer
    x = 34,637.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.