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Finding the Third Proportional to 21,784.77 and 46,185.19

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Solution

The third proportional to 21,784.77 and 46,185.19 is: 97,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.77 : 46,185.19 = 46,185.19 : x
  2. Step 2: Convert to fraction form
    21,784.77/46,185.19 = 46,185.19/x
  3. Step 3: Cross multiply
    21,784.77x = 46,185.19 × 46,185.19
  4. Step 4: Simplify right side
    21,784.77x = 2,133,071,886.91
  5. Step 5: Solve for x
    x = 2,133,071,886.91/21,784.77
  6. Step 6: Final answer
    x = 97,915.74

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