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Finding the Third Proportional to 21,352 and 31,480

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Solution

The third proportional to 21,352 and 31,480 is: 46,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352 : 31,480 = 31,480 : x
  2. Step 2: Convert to fraction form
    21,352/31,480 = 31,480/x
  3. Step 3: Cross multiply
    21,352x = 31,480 × 31,480
  4. Step 4: Simplify right side
    21,352x = 990,990,400
  5. Step 5: Solve for x
    x = 990,990,400/21,352
  6. Step 6: Final answer
    x = 46,412.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.