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Finding the Third Proportional to 27,386 and 39,567

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Solution

The third proportional to 27,386 and 39,567 is: 57,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386 : 39,567 = 39,567 : x
  2. Step 2: Convert to fraction form
    27,386/39,567 = 39,567/x
  3. Step 3: Cross multiply
    27,386x = 39,567 × 39,567
  4. Step 4: Simplify right side
    27,386x = 1,565,547,489
  5. Step 5: Solve for x
    x = 1,565,547,489/27,386
  6. Step 6: Final answer
    x = 57,165.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.