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Finding the Third Proportional to 40,768 and 63,011

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Solution

The third proportional to 40,768 and 63,011 is: 97,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,768 : 63,011 = 63,011 : x
  2. Step 2: Convert to fraction form
    40,768/63,011 = 63,011/x
  3. Step 3: Cross multiply
    40,768x = 63,011 × 63,011
  4. Step 4: Simplify right side
    40,768x = 3,970,386,121
  5. Step 5: Solve for x
    x = 3,970,386,121/40,768
  6. Step 6: Final answer
    x = 97,389.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.