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Finding the Third Proportional to 21,360.38 and 46,742.06

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Solution

The third proportional to 21,360.38 and 46,742.06 is: 102,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,360.38 : 46,742.06 = 46,742.06 : x
  2. Step 2: Convert to fraction form
    21,360.38/46,742.06 = 46,742.06/x
  3. Step 3: Cross multiply
    21,360.38x = 46,742.06 × 46,742.06
  4. Step 4: Simplify right side
    21,360.38x = 2,184,820,406.75
  5. Step 5: Solve for x
    x = 2,184,820,406.75/21,360.38
  6. Step 6: Final answer
    x = 102,283.80

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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.