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Finding the Third Proportional to 42,646.50 and 64,648.13

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Solution

The third proportional to 42,646.50 and 64,648.13 is: 98,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,646.50 : 64,648.13 = 64,648.13 : x
  2. Step 2: Convert to fraction form
    42,646.50/64,648.13 = 64,648.13/x
  3. Step 3: Cross multiply
    42,646.50x = 64,648.13 × 64,648.13
  4. Step 4: Simplify right side
    42,646.50x = 4,179,380,066.02
  5. Step 5: Solve for x
    x = 4,179,380,066.02/42,646.50
  6. Step 6: Final answer
    x = 98,000.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.