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Finding the Third Proportional to 44,699 and 64,261

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Solution

The third proportional to 44,699 and 64,261 is: 92,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,699 : 64,261 = 64,261 : x
  2. Step 2: Convert to fraction form
    44,699/64,261 = 64,261/x
  3. Step 3: Cross multiply
    44,699x = 64,261 × 64,261
  4. Step 4: Simplify right side
    44,699x = 4,129,476,121
  5. Step 5: Solve for x
    x = 4,129,476,121/44,699
  6. Step 6: Final answer
    x = 92,384.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.