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Finding the Third Proportional to 42,008 and 63,888

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Solution

The third proportional to 42,008 and 63,888 is: 97,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,008 : 63,888 = 63,888 : x
  2. Step 2: Convert to fraction form
    42,008/63,888 = 63,888/x
  3. Step 3: Cross multiply
    42,008x = 63,888 × 63,888
  4. Step 4: Simplify right side
    42,008x = 4,081,676,544
  5. Step 5: Solve for x
    x = 4,081,676,544/42,008
  6. Step 6: Final answer
    x = 97,164.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.