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Finding the Third Proportional to 12,374 and 25,768

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Solution

The third proportional to 12,374 and 25,768 is: 53,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 25,768 = 25,768 : x
  2. Step 2: Convert to fraction form
    12,374/25,768 = 25,768/x
  3. Step 3: Cross multiply
    12,374x = 25,768 × 25,768
  4. Step 4: Simplify right side
    12,374x = 663,989,824
  5. Step 5: Solve for x
    x = 663,989,824/12,374
  6. Step 6: Final answer
    x = 53,660.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.