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Finding the Third Proportional to 21,532 and 46,178

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Solution

The third proportional to 21,532 and 46,178 is: 99,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532 : 46,178 = 46,178 : x
  2. Step 2: Convert to fraction form
    21,532/46,178 = 46,178/x
  3. Step 3: Cross multiply
    21,532x = 46,178 × 46,178
  4. Step 4: Simplify right side
    21,532x = 2,132,407,684
  5. Step 5: Solve for x
    x = 2,132,407,684/21,532
  6. Step 6: Final answer
    x = 99,034.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.