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Finding the Third Proportional to 7,312 and 17,584

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Solution

The third proportional to 7,312 and 17,584 is: 42,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312 : 17,584 = 17,584 : x
  2. Step 2: Convert to fraction form
    7,312/17,584 = 17,584/x
  3. Step 3: Cross multiply
    7,312x = 17,584 × 17,584
  4. Step 4: Simplify right side
    7,312x = 309,197,056
  5. Step 5: Solve for x
    x = 309,197,056/7,312
  6. Step 6: Final answer
    x = 42,286.25

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.