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Finding the Third Proportional to 43,020 and 64,548

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Solution

The third proportional to 43,020 and 64,548 is: 96,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 64,548 = 64,548 : x
  2. Step 2: Convert to fraction form
    43,020/64,548 = 64,548/x
  3. Step 3: Cross multiply
    43,020x = 64,548 × 64,548
  4. Step 4: Simplify right side
    43,020x = 4,166,444,304
  5. Step 5: Solve for x
    x = 4,166,444,304/43,020
  6. Step 6: Final answer
    x = 96,849.01

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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.