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Finding the Third Proportional to 15,776 and 36,888

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Solution

The third proportional to 15,776 and 36,888 is: 86,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776 : 36,888 = 36,888 : x
  2. Step 2: Convert to fraction form
    15,776/36,888 = 36,888/x
  3. Step 3: Cross multiply
    15,776x = 36,888 × 36,888
  4. Step 4: Simplify right side
    15,776x = 1,360,724,544
  5. Step 5: Solve for x
    x = 1,360,724,544/15,776
  6. Step 6: Final answer
    x = 86,252.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.