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Finding the Third Proportional to 22,465.13 and 32,968.13

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Solution

The third proportional to 22,465.13 and 32,968.13 is: 48,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.13 : 32,968.13 = 32,968.13 : x
  2. Step 2: Convert to fraction form
    22,465.13/32,968.13 = 32,968.13/x
  3. Step 3: Cross multiply
    22,465.13x = 32,968.13 × 32,968.13
  4. Step 4: Simplify right side
    22,465.13x = 1,086,897,266.02
  5. Step 5: Solve for x
    x = 1,086,897,266.02/22,465.13
  6. Step 6: Final answer
    x = 48,381.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.