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Finding the Third Proportional to 21,734.25 and 46,133.88

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Solution

The third proportional to 21,734.25 and 46,133.88 is: 97,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.25 : 46,133.88 = 46,133.88 : x
  2. Step 2: Convert to fraction form
    21,734.25/46,133.88 = 46,133.88/x
  3. Step 3: Cross multiply
    21,734.25x = 46,133.88 × 46,133.88
  4. Step 4: Simplify right side
    21,734.25x = 2,128,334,422.52
  5. Step 5: Solve for x
    x = 2,128,334,422.52/21,734.25
  6. Step 6: Final answer
    x = 97,925.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.