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Finding the Third Proportional to 48,656 and 63,888

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Solution

The third proportional to 48,656 and 63,888 is: 83,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656 : 63,888 = 63,888 : x
  2. Step 2: Convert to fraction form
    48,656/63,888 = 63,888/x
  3. Step 3: Cross multiply
    48,656x = 63,888 × 63,888
  4. Step 4: Simplify right side
    48,656x = 4,081,676,544
  5. Step 5: Solve for x
    x = 4,081,676,544/48,656
  6. Step 6: Final answer
    x = 83,888.45

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.