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Finding the Third Proportional to 19,598 and 29,807

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Solution

The third proportional to 19,598 and 29,807 is: 45,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598 : 29,807 = 29,807 : x
  2. Step 2: Convert to fraction form
    19,598/29,807 = 29,807/x
  3. Step 3: Cross multiply
    19,598x = 29,807 × 29,807
  4. Step 4: Simplify right side
    19,598x = 888,457,249
  5. Step 5: Solve for x
    x = 888,457,249/19,598
  6. Step 6: Final answer
    x = 45,334.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.