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Finding the Third Proportional to 22,368.94 and 48,674.06

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Solution

The third proportional to 22,368.94 and 48,674.06 is: 105,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368.94 : 48,674.06 = 48,674.06 : x
  2. Step 2: Convert to fraction form
    22,368.94/48,674.06 = 48,674.06/x
  3. Step 3: Cross multiply
    22,368.94x = 48,674.06 × 48,674.06
  4. Step 4: Simplify right side
    22,368.94x = 2,369,164,360.25
  5. Step 5: Solve for x
    x = 2,369,164,360.25/22,368.94
  6. Step 6: Final answer
    x = 105,913.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.