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Finding the Third Proportional to 27,874.50 and 59,565

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Solution

The third proportional to 27,874.50 and 59,565 is: 127,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.50 : 59,565 = 59,565 : x
  2. Step 2: Convert to fraction form
    27,874.50/59,565 = 59,565/x
  3. Step 3: Cross multiply
    27,874.50x = 59,565 × 59,565
  4. Step 4: Simplify right side
    27,874.50x = 3,547,989,225
  5. Step 5: Solve for x
    x = 3,547,989,225/27,874.50
  6. Step 6: Final answer
    x = 127,284.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.