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Finding the Third Proportional to 46,537 and 62,423

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Solution

The third proportional to 46,537 and 62,423 is: 83,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,537 : 62,423 = 62,423 : x
  2. Step 2: Convert to fraction form
    46,537/62,423 = 62,423/x
  3. Step 3: Cross multiply
    46,537x = 62,423 × 62,423
  4. Step 4: Simplify right side
    46,537x = 3,896,630,929
  5. Step 5: Solve for x
    x = 3,896,630,929/46,537
  6. Step 6: Final answer
    x = 83,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.