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Finding the Third Proportional to 21,877.59 and 47,946.94

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Solution

The third proportional to 21,877.59 and 47,946.94 is: 105,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.59 : 47,946.94 = 47,946.94 : x
  2. Step 2: Convert to fraction form
    21,877.59/47,946.94 = 47,946.94/x
  3. Step 3: Cross multiply
    21,877.59x = 47,946.94 × 47,946.94
  4. Step 4: Simplify right side
    21,877.59x = 2,298,908,815.63
  5. Step 5: Solve for x
    x = 2,298,908,815.63/21,877.59
  6. Step 6: Final answer
    x = 105,080.51

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