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Finding the Third Proportional to 42,483.23 and 65,348.02

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Solution

The third proportional to 42,483.23 and 65,348.02 is: 100,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,483.23 : 65,348.02 = 65,348.02 : x
  2. Step 2: Convert to fraction form
    42,483.23/65,348.02 = 65,348.02/x
  3. Step 3: Cross multiply
    42,483.23x = 65,348.02 × 65,348.02
  4. Step 4: Simplify right side
    42,483.23x = 4,270,363,146.13
  5. Step 5: Solve for x
    x = 4,270,363,146.13/42,483.23
  6. Step 6: Final answer
    x = 100,518.79

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