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Finding the Third Proportional to 23,080 and 50,528

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Solution

The third proportional to 23,080 and 50,528 is: 110,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080 : 50,528 = 50,528 : x
  2. Step 2: Convert to fraction form
    23,080/50,528 = 50,528/x
  3. Step 3: Cross multiply
    23,080x = 50,528 × 50,528
  4. Step 4: Simplify right side
    23,080x = 2,553,078,784
  5. Step 5: Solve for x
    x = 2,553,078,784/23,080
  6. Step 6: Final answer
    x = 110,618.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.