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Finding the Third Proportional to 22,681.13 and 43,362

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Solution

The third proportional to 22,681.13 and 43,362 is: 82,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.13 : 43,362 = 43,362 : x
  2. Step 2: Convert to fraction form
    22,681.13/43,362 = 43,362/x
  3. Step 3: Cross multiply
    22,681.13x = 43,362 × 43,362
  4. Step 4: Simplify right side
    22,681.13x = 1,880,263,044
  5. Step 5: Solve for x
    x = 1,880,263,044/22,681.13
  6. Step 6: Final answer
    x = 82,899.90

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.