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Finding the Third Proportional to 46,701 and 70,537

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Solution

The third proportional to 46,701 and 70,537 is: 106,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,701 : 70,537 = 70,537 : x
  2. Step 2: Convert to fraction form
    46,701/70,537 = 70,537/x
  3. Step 3: Cross multiply
    46,701x = 70,537 × 70,537
  4. Step 4: Simplify right side
    46,701x = 4,975,468,369
  5. Step 5: Solve for x
    x = 4,975,468,369/46,701
  6. Step 6: Final answer
    x = 106,538.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.