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Finding the Third Proportional to 42,623.72 and 64,527.89

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Solution

The third proportional to 42,623.72 and 64,527.89 is: 97,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,623.72 : 64,527.89 = 64,527.89 : x
  2. Step 2: Convert to fraction form
    42,623.72/64,527.89 = 64,527.89/x
  3. Step 3: Cross multiply
    42,623.72x = 64,527.89 × 64,527.89
  4. Step 4: Simplify right side
    42,623.72x = 4,163,848,668.51
  5. Step 5: Solve for x
    x = 4,163,848,668.51/42,623.72
  6. Step 6: Final answer
    x = 97,688.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.