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Finding the Third Proportional to 39,752 and 63,516

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Solution

The third proportional to 39,752 and 63,516 is: 101,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 63,516 = 63,516 : x
  2. Step 2: Convert to fraction form
    39,752/63,516 = 63,516/x
  3. Step 3: Cross multiply
    39,752x = 63,516 × 63,516
  4. Step 4: Simplify right side
    39,752x = 4,034,282,256
  5. Step 5: Solve for x
    x = 4,034,282,256/39,752
  6. Step 6: Final answer
    x = 101,486.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.