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Finding the Third Proportional to 21,925.69 and 47,314.13

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Solution

The third proportional to 21,925.69 and 47,314.13 is: 102,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.69 : 47,314.13 = 47,314.13 : x
  2. Step 2: Convert to fraction form
    21,925.69/47,314.13 = 47,314.13/x
  3. Step 3: Cross multiply
    21,925.69x = 47,314.13 × 47,314.13
  4. Step 4: Simplify right side
    21,925.69x = 2,238,626,424.52
  5. Step 5: Solve for x
    x = 2,238,626,424.52/21,925.69
  6. Step 6: Final answer
    x = 102,100.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.