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Finding the Third Proportional to 25,875 and 39,567

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Solution

The third proportional to 25,875 and 39,567 is: 60,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875 : 39,567 = 39,567 : x
  2. Step 2: Convert to fraction form
    25,875/39,567 = 39,567/x
  3. Step 3: Cross multiply
    25,875x = 39,567 × 39,567
  4. Step 4: Simplify right side
    25,875x = 1,565,547,489
  5. Step 5: Solve for x
    x = 1,565,547,489/25,875
  6. Step 6: Final answer
    x = 60,504.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.