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Finding the Third Proportional to 22,307.25 and 32,716.13

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Solution

The third proportional to 22,307.25 and 32,716.13 is: 47,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.25 : 32,716.13 = 32,716.13 : x
  2. Step 2: Convert to fraction form
    22,307.25/32,716.13 = 32,716.13/x
  3. Step 3: Cross multiply
    22,307.25x = 32,716.13 × 32,716.13
  4. Step 4: Simplify right side
    22,307.25x = 1,070,344,835.02
  5. Step 5: Solve for x
    x = 1,070,344,835.02/22,307.25
  6. Step 6: Final answer
    x = 47,981.93

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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.