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Finding the Third Proportional to 40,706 and 64,337

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Solution

The third proportional to 40,706 and 64,337 is: 101,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,706 : 64,337 = 64,337 : x
  2. Step 2: Convert to fraction form
    40,706/64,337 = 64,337/x
  3. Step 3: Cross multiply
    40,706x = 64,337 × 64,337
  4. Step 4: Simplify right side
    40,706x = 4,139,249,569
  5. Step 5: Solve for x
    x = 4,139,249,569/40,706
  6. Step 6: Final answer
    x = 101,686.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.