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Finding the Third Proportional to 19,575 and 29,821.50

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Solution

The third proportional to 19,575 and 29,821.50 is: 45,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575 : 29,821.50 = 29,821.50 : x
  2. Step 2: Convert to fraction form
    19,575/29,821.50 = 29,821.50/x
  3. Step 3: Cross multiply
    19,575x = 29,821.50 × 29,821.50
  4. Step 4: Simplify right side
    19,575x = 889,321,862.25
  5. Step 5: Solve for x
    x = 889,321,862.25/19,575
  6. Step 6: Final answer
    x = 45,431.51

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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.