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Finding the Third Proportional to 7,213 and 15,577

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Solution

The third proportional to 7,213 and 15,577 is: 33,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213 : 15,577 = 15,577 : x
  2. Step 2: Convert to fraction form
    7,213/15,577 = 15,577/x
  3. Step 3: Cross multiply
    7,213x = 15,577 × 15,577
  4. Step 4: Simplify right side
    7,213x = 242,642,929
  5. Step 5: Solve for x
    x = 242,642,929/7,213
  6. Step 6: Final answer
    x = 33,639.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.