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Finding the Third Proportional to 46,410 and 72,387

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Solution

The third proportional to 46,410 and 72,387 is: 112,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410 : 72,387 = 72,387 : x
  2. Step 2: Convert to fraction form
    46,410/72,387 = 72,387/x
  3. Step 3: Cross multiply
    46,410x = 72,387 × 72,387
  4. Step 4: Simplify right side
    46,410x = 5,239,877,769
  5. Step 5: Solve for x
    x = 5,239,877,769/46,410
  6. Step 6: Final answer
    x = 112,904.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.