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Finding the Third Proportional to 30,564 and 64,455

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Solution

The third proportional to 30,564 and 64,455 is: 135,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 64,455 = 64,455 : x
  2. Step 2: Convert to fraction form
    30,564/64,455 = 64,455/x
  3. Step 3: Cross multiply
    30,564x = 64,455 × 64,455
  4. Step 4: Simplify right side
    30,564x = 4,154,447,025
  5. Step 5: Solve for x
    x = 4,154,447,025/30,564
  6. Step 6: Final answer
    x = 135,926.16

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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.