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Finding the Third Proportional to 46,377 and 70,452

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Solution

The third proportional to 46,377 and 70,452 is: 107,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377 : 70,452 = 70,452 : x
  2. Step 2: Convert to fraction form
    46,377/70,452 = 70,452/x
  3. Step 3: Cross multiply
    46,377x = 70,452 × 70,452
  4. Step 4: Simplify right side
    46,377x = 4,963,484,304
  5. Step 5: Solve for x
    x = 4,963,484,304/46,377
  6. Step 6: Final answer
    x = 107,024.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.