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Finding the Third Proportional to 46,800 and 63,507

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Solution

The third proportional to 46,800 and 63,507 is: 86,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,800 : 63,507 = 63,507 : x
  2. Step 2: Convert to fraction form
    46,800/63,507 = 63,507/x
  3. Step 3: Cross multiply
    46,800x = 63,507 × 63,507
  4. Step 4: Simplify right side
    46,800x = 4,033,139,049
  5. Step 5: Solve for x
    x = 4,033,139,049/46,800
  6. Step 6: Final answer
    x = 86,178.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.