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Finding the Third Proportional to 21,200.63 and 45,681.75

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Solution

The third proportional to 21,200.63 and 45,681.75 is: 98,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.63 : 45,681.75 = 45,681.75 : x
  2. Step 2: Convert to fraction form
    21,200.63/45,681.75 = 45,681.75/x
  3. Step 3: Cross multiply
    21,200.63x = 45,681.75 × 45,681.75
  4. Step 4: Simplify right side
    21,200.63x = 2,086,822,283.06
  5. Step 5: Solve for x
    x = 2,086,822,283.06/21,200.63
  6. Step 6: Final answer
    x = 98,432.11

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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.