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Finding the Third Proportional to 21,038.06 and 46,035.84

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Solution

The third proportional to 21,038.06 and 46,035.84 is: 100,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.06 : 46,035.84 = 46,035.84 : x
  2. Step 2: Convert to fraction form
    21,038.06/46,035.84 = 46,035.84/x
  3. Step 3: Cross multiply
    21,038.06x = 46,035.84 × 46,035.84
  4. Step 4: Simplify right side
    21,038.06x = 2,119,298,909.77
  5. Step 5: Solve for x
    x = 2,119,298,909.77/21,038.06
  6. Step 6: Final answer
    x = 100,736.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.