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Finding the Third Proportional to 21,232.13 and 45,532.13

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Solution

The third proportional to 21,232.13 and 45,532.13 is: 97,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.13 : 45,532.13 = 45,532.13 : x
  2. Step 2: Convert to fraction form
    21,232.13/45,532.13 = 45,532.13/x
  3. Step 3: Cross multiply
    21,232.13x = 45,532.13 × 45,532.13
  4. Step 4: Simplify right side
    21,232.13x = 2,073,174,407.02
  5. Step 5: Solve for x
    x = 2,073,174,407.02/21,232.13
  6. Step 6: Final answer
    x = 97,643.28

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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.