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Finding the Third Proportional to 28,802.25 and 44,432.63

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Solution

The third proportional to 28,802.25 and 44,432.63 is: 68,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,802.25 : 44,432.63 = 44,432.63 : x
  2. Step 2: Convert to fraction form
    28,802.25/44,432.63 = 44,432.63/x
  3. Step 3: Cross multiply
    28,802.25x = 44,432.63 × 44,432.63
  4. Step 4: Simplify right side
    28,802.25x = 1,974,258,164.39
  5. Step 5: Solve for x
    x = 1,974,258,164.39/28,802.25
  6. Step 6: Final answer
    x = 68,545.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.