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Finding the Third Proportional to 21,577.50 and 46,155

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Solution

The third proportional to 21,577.50 and 46,155 is: 98,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.50 : 46,155 = 46,155 : x
  2. Step 2: Convert to fraction form
    21,577.50/46,155 = 46,155/x
  3. Step 3: Cross multiply
    21,577.50x = 46,155 × 46,155
  4. Step 4: Simplify right side
    21,577.50x = 2,130,284,025
  5. Step 5: Solve for x
    x = 2,130,284,025/21,577.50
  6. Step 6: Final answer
    x = 98,727.10

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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.