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Finding the Third Proportional to 25,688 and 39,430

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Solution

The third proportional to 25,688 and 39,430 is: 60,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688 : 39,430 = 39,430 : x
  2. Step 2: Convert to fraction form
    25,688/39,430 = 39,430/x
  3. Step 3: Cross multiply
    25,688x = 39,430 × 39,430
  4. Step 4: Simplify right side
    25,688x = 1,554,724,900
  5. Step 5: Solve for x
    x = 1,554,724,900/25,688
  6. Step 6: Final answer
    x = 60,523.39

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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.