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Finding the Third Proportional to 29,352 and 64,536

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Solution

The third proportional to 29,352 and 64,536 is: 141,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352 : 64,536 = 64,536 : x
  2. Step 2: Convert to fraction form
    29,352/64,536 = 64,536/x
  3. Step 3: Cross multiply
    29,352x = 64,536 × 64,536
  4. Step 4: Simplify right side
    29,352x = 4,164,895,296
  5. Step 5: Solve for x
    x = 4,164,895,296/29,352
  6. Step 6: Final answer
    x = 141,894.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.