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Finding the Third Proportional to 48,498 and 70,863

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Solution

The third proportional to 48,498 and 70,863 is: 103,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498 : 70,863 = 70,863 : x
  2. Step 2: Convert to fraction form
    48,498/70,863 = 70,863/x
  3. Step 3: Cross multiply
    48,498x = 70,863 × 70,863
  4. Step 4: Simplify right side
    48,498x = 5,021,564,769
  5. Step 5: Solve for x
    x = 5,021,564,769/48,498
  6. Step 6: Final answer
    x = 103,541.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.