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Finding the Third Proportional to 29,984 and 64,342

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Solution

The third proportional to 29,984 and 64,342 is: 138,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,984 : 64,342 = 64,342 : x
  2. Step 2: Convert to fraction form
    29,984/64,342 = 64,342/x
  3. Step 3: Cross multiply
    29,984x = 64,342 × 64,342
  4. Step 4: Simplify right side
    29,984x = 4,139,892,964
  5. Step 5: Solve for x
    x = 4,139,892,964/29,984
  6. Step 6: Final answer
    x = 138,070.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.