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Finding the Third Proportional to 10,026 and 15,527.25

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Solution

The third proportional to 10,026 and 15,527.25 is: 24,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026 : 15,527.25 = 15,527.25 : x
  2. Step 2: Convert to fraction form
    10,026/15,527.25 = 15,527.25/x
  3. Step 3: Cross multiply
    10,026x = 15,527.25 × 15,527.25
  4. Step 4: Simplify right side
    10,026x = 241,095,492.56
  5. Step 5: Solve for x
    x = 241,095,492.56/10,026
  6. Step 6: Final answer
    x = 24,047.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.