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Finding the Third Proportional to 42,830 and 64,008

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Solution

The third proportional to 42,830 and 64,008 is: 95,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830 : 64,008 = 64,008 : x
  2. Step 2: Convert to fraction form
    42,830/64,008 = 64,008/x
  3. Step 3: Cross multiply
    42,830x = 64,008 × 64,008
  4. Step 4: Simplify right side
    42,830x = 4,097,024,064
  5. Step 5: Solve for x
    x = 4,097,024,064/42,830
  6. Step 6: Final answer
    x = 95,657.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.