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Finding the Third Proportional to 29,209 and 47,459

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Solution

The third proportional to 29,209 and 47,459 is: 77,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,209 : 47,459 = 47,459 : x
  2. Step 2: Convert to fraction form
    29,209/47,459 = 47,459/x
  3. Step 3: Cross multiply
    29,209x = 47,459 × 47,459
  4. Step 4: Simplify right side
    29,209x = 2,252,356,681
  5. Step 5: Solve for x
    x = 2,252,356,681/29,209
  6. Step 6: Final answer
    x = 77,111.74

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.