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Finding the Third Proportional to 19,878.75 and 43,264.13

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Solution

The third proportional to 19,878.75 and 43,264.13 is: 94,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.75 : 43,264.13 = 43,264.13 : x
  2. Step 2: Convert to fraction form
    19,878.75/43,264.13 = 43,264.13/x
  3. Step 3: Cross multiply
    19,878.75x = 43,264.13 × 43,264.13
  4. Step 4: Simplify right side
    19,878.75x = 1,871,784,512.02
  5. Step 5: Solve for x
    x = 1,871,784,512.02/19,878.75
  6. Step 6: Final answer
    x = 94,160.07

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Why These Related Problems?

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