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Finding the Third Proportional to 17,952 and 25,113

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Solution

The third proportional to 17,952 and 25,113 is: 35,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952 : 25,113 = 25,113 : x
  2. Step 2: Convert to fraction form
    17,952/25,113 = 25,113/x
  3. Step 3: Cross multiply
    17,952x = 25,113 × 25,113
  4. Step 4: Simplify right side
    17,952x = 630,662,769
  5. Step 5: Solve for x
    x = 630,662,769/17,952
  6. Step 6: Final answer
    x = 35,130.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.