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Finding the Third Proportional to 23,486 and 49,279.88

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Solution

The third proportional to 23,486 and 49,279.88 is: 103,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486 : 49,279.88 = 49,279.88 : x
  2. Step 2: Convert to fraction form
    23,486/49,279.88 = 49,279.88/x
  3. Step 3: Cross multiply
    23,486x = 49,279.88 × 49,279.88
  4. Step 4: Simplify right side
    23,486x = 2,428,506,080.02
  5. Step 5: Solve for x
    x = 2,428,506,080.02/23,486
  6. Step 6: Final answer
    x = 103,402.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.