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Finding the Third Proportional to 14,550 and 23,077

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Solution

The third proportional to 14,550 and 23,077 is: 36,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550 : 23,077 = 23,077 : x
  2. Step 2: Convert to fraction form
    14,550/23,077 = 23,077/x
  3. Step 3: Cross multiply
    14,550x = 23,077 × 23,077
  4. Step 4: Simplify right side
    14,550x = 532,547,929
  5. Step 5: Solve for x
    x = 532,547,929/14,550
  6. Step 6: Final answer
    x = 36,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.