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Finding the Third Proportional to 21,024 and 45,312

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Solution

The third proportional to 21,024 and 45,312 is: 97,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 45,312 = 45,312 : x
  2. Step 2: Convert to fraction form
    21,024/45,312 = 45,312/x
  3. Step 3: Cross multiply
    21,024x = 45,312 × 45,312
  4. Step 4: Simplify right side
    21,024x = 2,053,177,344
  5. Step 5: Solve for x
    x = 2,053,177,344/21,024
  6. Step 6: Final answer
    x = 97,658.74

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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.