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Finding the Third Proportional to 46,501 and 59,707

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Solution

The third proportional to 46,501 and 59,707 is: 76,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,501 : 59,707 = 59,707 : x
  2. Step 2: Convert to fraction form
    46,501/59,707 = 59,707/x
  3. Step 3: Cross multiply
    46,501x = 59,707 × 59,707
  4. Step 4: Simplify right side
    46,501x = 3,564,925,849
  5. Step 5: Solve for x
    x = 3,564,925,849/46,501
  6. Step 6: Final answer
    x = 76,663.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.