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Finding the Third Proportional to 8,526.75 and 13,154.63

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Solution

The third proportional to 8,526.75 and 13,154.63 is: 20,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.75 : 13,154.63 = 13,154.63 : x
  2. Step 2: Convert to fraction form
    8,526.75/13,154.63 = 13,154.63/x
  3. Step 3: Cross multiply
    8,526.75x = 13,154.63 × 13,154.63
  4. Step 4: Simplify right side
    8,526.75x = 173,044,158.89
  5. Step 5: Solve for x
    x = 173,044,158.89/8,526.75
  6. Step 6: Final answer
    x = 20,294.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.