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Finding the Third Proportional to 10,303.88 and 15,503.06

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Solution

The third proportional to 10,303.88 and 15,503.06 is: 23,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.88 : 15,503.06 = 15,503.06 : x
  2. Step 2: Convert to fraction form
    10,303.88/15,503.06 = 15,503.06/x
  3. Step 3: Cross multiply
    10,303.88x = 15,503.06 × 15,503.06
  4. Step 4: Simplify right side
    10,303.88x = 240,344,946.88
  5. Step 5: Solve for x
    x = 240,344,946.88/10,303.88
  6. Step 6: Final answer
    x = 23,325.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.