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Finding the Third Proportional to 21,649.15 and 46,521.84

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Solution

The third proportional to 21,649.15 and 46,521.84 is: 99,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.15 : 46,521.84 = 46,521.84 : x
  2. Step 2: Convert to fraction form
    21,649.15/46,521.84 = 46,521.84/x
  3. Step 3: Cross multiply
    21,649.15x = 46,521.84 × 46,521.84
  4. Step 4: Simplify right side
    21,649.15x = 2,164,281,945.90
  5. Step 5: Solve for x
    x = 2,164,281,945.90/21,649.15
  6. Step 6: Final answer
    x = 99,970.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.