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Finding the Third Proportional to 22,510.09 and 32,603.13

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Solution

The third proportional to 22,510.09 and 32,603.13 is: 47,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.09 : 32,603.13 = 32,603.13 : x
  2. Step 2: Convert to fraction form
    22,510.09/32,603.13 = 32,603.13/x
  3. Step 3: Cross multiply
    22,510.09x = 32,603.13 × 32,603.13
  4. Step 4: Simplify right side
    22,510.09x = 1,062,964,269.19
  5. Step 5: Solve for x
    x = 1,062,964,269.19/22,510.09
  6. Step 6: Final answer
    x = 47,221.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.