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Finding the Third Proportional to 8,526.09 and 18,510.19

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Solution

The third proportional to 8,526.09 and 18,510.19 is: 40,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.09 : 18,510.19 = 18,510.19 : x
  2. Step 2: Convert to fraction form
    8,526.09/18,510.19 = 18,510.19/x
  3. Step 3: Cross multiply
    8,526.09x = 18,510.19 × 18,510.19
  4. Step 4: Simplify right side
    8,526.09x = 342,627,041.29
  5. Step 5: Solve for x
    x = 342,627,041.29/8,526.09
  6. Step 6: Final answer
    x = 40,185.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.