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Finding the Third Proportional to 21,998 and 36,095

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Solution

The third proportional to 21,998 and 36,095 is: 59,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998 : 36,095 = 36,095 : x
  2. Step 2: Convert to fraction form
    21,998/36,095 = 36,095/x
  3. Step 3: Cross multiply
    21,998x = 36,095 × 36,095
  4. Step 4: Simplify right side
    21,998x = 1,302,849,025
  5. Step 5: Solve for x
    x = 1,302,849,025/21,998
  6. Step 6: Final answer
    x = 59,225.79

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.