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Finding the Third Proportional to 26,641 and 57,435

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Solution

The third proportional to 26,641 and 57,435 is: 123,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,641 : 57,435 = 57,435 : x
  2. Step 2: Convert to fraction form
    26,641/57,435 = 57,435/x
  3. Step 3: Cross multiply
    26,641x = 57,435 × 57,435
  4. Step 4: Simplify right side
    26,641x = 3,298,779,225
  5. Step 5: Solve for x
    x = 3,298,779,225/26,641
  6. Step 6: Final answer
    x = 123,823.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.