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Finding the Third Proportional to 25,490 and 39,371

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Solution

The third proportional to 25,490 and 39,371 is: 60,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490 : 39,371 = 39,371 : x
  2. Step 2: Convert to fraction form
    25,490/39,371 = 39,371/x
  3. Step 3: Cross multiply
    25,490x = 39,371 × 39,371
  4. Step 4: Simplify right side
    25,490x = 1,550,075,641
  5. Step 5: Solve for x
    x = 1,550,075,641/25,490
  6. Step 6: Final answer
    x = 60,811.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.