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Finding the Third Proportional to 30,597 and 64,518

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Solution

The third proportional to 30,597 and 64,518 is: 136,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597 : 64,518 = 64,518 : x
  2. Step 2: Convert to fraction form
    30,597/64,518 = 64,518/x
  3. Step 3: Cross multiply
    30,597x = 64,518 × 64,518
  4. Step 4: Simplify right side
    30,597x = 4,162,572,324
  5. Step 5: Solve for x
    x = 4,162,572,324/30,597
  6. Step 6: Final answer
    x = 136,045.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.