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Finding the Third Proportional to 15,006.75 and 19,753.50

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Solution

The third proportional to 15,006.75 and 19,753.50 is: 26,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.75 : 19,753.50 = 19,753.50 : x
  2. Step 2: Convert to fraction form
    15,006.75/19,753.50 = 19,753.50/x
  3. Step 3: Cross multiply
    15,006.75x = 19,753.50 × 19,753.50
  4. Step 4: Simplify right side
    15,006.75x = 390,200,762.25
  5. Step 5: Solve for x
    x = 390,200,762.25/15,006.75
  6. Step 6: Final answer
    x = 26,001.68

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.