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Finding the Third Proportional to 7,156.95 and 10,521.62

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Solution

The third proportional to 7,156.95 and 10,521.62 is: 15,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.95 : 10,521.62 = 10,521.62 : x
  2. Step 2: Convert to fraction form
    7,156.95/10,521.62 = 10,521.62/x
  3. Step 3: Cross multiply
    7,156.95x = 10,521.62 × 10,521.62
  4. Step 4: Simplify right side
    7,156.95x = 110,704,387.14
  5. Step 5: Solve for x
    x = 110,704,387.14/7,156.95
  6. Step 6: Final answer
    x = 15,468.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.