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Finding the Third Proportional to 25,570 and 39,684

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Solution

The third proportional to 25,570 and 39,684 is: 61,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570 : 39,684 = 39,684 : x
  2. Step 2: Convert to fraction form
    25,570/39,684 = 39,684/x
  3. Step 3: Cross multiply
    25,570x = 39,684 × 39,684
  4. Step 4: Simplify right side
    25,570x = 1,574,819,856
  5. Step 5: Solve for x
    x = 1,574,819,856/25,570
  6. Step 6: Final answer
    x = 61,588.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.