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Finding the Third Proportional to 21,486.94 and 46,148.06

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Solution

The third proportional to 21,486.94 and 46,148.06 is: 99,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.94 : 46,148.06 = 46,148.06 : x
  2. Step 2: Convert to fraction form
    21,486.94/46,148.06 = 46,148.06/x
  3. Step 3: Cross multiply
    21,486.94x = 46,148.06 × 46,148.06
  4. Step 4: Simplify right side
    21,486.94x = 2,129,643,672.50
  5. Step 5: Solve for x
    x = 2,129,643,672.50/21,486.94
  6. Step 6: Final answer
    x = 99,113.41

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