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Finding the Third Proportional to 29,590 and 64,658

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Solution

The third proportional to 29,590 and 64,658 is: 141,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,590 : 64,658 = 64,658 : x
  2. Step 2: Convert to fraction form
    29,590/64,658 = 64,658/x
  3. Step 3: Cross multiply
    29,590x = 64,658 × 64,658
  4. Step 4: Simplify right side
    29,590x = 4,180,656,964
  5. Step 5: Solve for x
    x = 4,180,656,964/29,590
  6. Step 6: Final answer
    x = 141,286.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.