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Finding the Third Proportional to 16,598 and 25,403

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Solution

The third proportional to 16,598 and 25,403 is: 38,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598 : 25,403 = 25,403 : x
  2. Step 2: Convert to fraction form
    16,598/25,403 = 25,403/x
  3. Step 3: Cross multiply
    16,598x = 25,403 × 25,403
  4. Step 4: Simplify right side
    16,598x = 645,312,409
  5. Step 5: Solve for x
    x = 645,312,409/16,598
  6. Step 6: Final answer
    x = 38,878.93

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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.