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Finding the Third Proportional to 21,528 and 46,184

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Solution

The third proportional to 21,528 and 46,184 is: 99,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,528 : 46,184 = 46,184 : x
  2. Step 2: Convert to fraction form
    21,528/46,184 = 46,184/x
  3. Step 3: Cross multiply
    21,528x = 46,184 × 46,184
  4. Step 4: Simplify right side
    21,528x = 2,132,961,856
  5. Step 5: Solve for x
    x = 2,132,961,856/21,528
  6. Step 6: Final answer
    x = 99,078.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.