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Finding the Third Proportional to 9,712 and 21,188

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Solution

The third proportional to 9,712 and 21,188 is: 46,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 21,188 = 21,188 : x
  2. Step 2: Convert to fraction form
    9,712/21,188 = 21,188/x
  3. Step 3: Cross multiply
    9,712x = 21,188 × 21,188
  4. Step 4: Simplify right side
    9,712x = 448,931,344
  5. Step 5: Solve for x
    x = 448,931,344/9,712
  6. Step 6: Final answer
    x = 46,224.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.