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Finding the Third Proportional to 19,597 and 42,875

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Solution

The third proportional to 19,597 and 42,875 is: 93,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597 : 42,875 = 42,875 : x
  2. Step 2: Convert to fraction form
    19,597/42,875 = 42,875/x
  3. Step 3: Cross multiply
    19,597x = 42,875 × 42,875
  4. Step 4: Simplify right side
    19,597x = 1,838,265,625
  5. Step 5: Solve for x
    x = 1,838,265,625/19,597
  6. Step 6: Final answer
    x = 93,803.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.