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Finding the Third Proportional to 43,064.16 and 64,643.70

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Solution

The third proportional to 43,064.16 and 64,643.70 is: 97,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,064.16 : 64,643.70 = 64,643.70 : x
  2. Step 2: Convert to fraction form
    43,064.16/64,643.70 = 64,643.70/x
  3. Step 3: Cross multiply
    43,064.16x = 64,643.70 × 64,643.70
  4. Step 4: Simplify right side
    43,064.16x = 4,178,807,343.66
  5. Step 5: Solve for x
    x = 4,178,807,343.66/43,064.16
  6. Step 6: Final answer
    x = 97,036.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.