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Finding the Third Proportional to 21,257.16 and 46,341.28

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Solution

The third proportional to 21,257.16 and 46,341.28 is: 101,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.16 : 46,341.28 = 46,341.28 : x
  2. Step 2: Convert to fraction form
    21,257.16/46,341.28 = 46,341.28/x
  3. Step 3: Cross multiply
    21,257.16x = 46,341.28 × 46,341.28
  4. Step 4: Simplify right side
    21,257.16x = 2,147,514,347.89
  5. Step 5: Solve for x
    x = 2,147,514,347.89/21,257.16
  6. Step 6: Final answer
    x = 101,025.48

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