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Finding the Third Proportional to 7,860 and 10,572

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Solution

The third proportional to 7,860 and 10,572 is: 14,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 10,572 = 10,572 : x
  2. Step 2: Convert to fraction form
    7,860/10,572 = 10,572/x
  3. Step 3: Cross multiply
    7,860x = 10,572 × 10,572
  4. Step 4: Simplify right side
    7,860x = 111,767,184
  5. Step 5: Solve for x
    x = 111,767,184/7,860
  6. Step 6: Final answer
    x = 14,219.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.