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Finding the Third Proportional to 21,666.28 and 46,566.28

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Solution

The third proportional to 21,666.28 and 46,566.28 is: 100,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.28 : 46,566.28 = 46,566.28 : x
  2. Step 2: Convert to fraction form
    21,666.28/46,566.28 = 46,566.28/x
  3. Step 3: Cross multiply
    21,666.28x = 46,566.28 × 46,566.28
  4. Step 4: Simplify right side
    21,666.28x = 2,168,418,549.45
  5. Step 5: Solve for x
    x = 2,168,418,549.45/21,666.28
  6. Step 6: Final answer
    x = 100,082.64

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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.