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Finding the Third Proportional to 30,712 and 46,527

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Solution

The third proportional to 30,712 and 46,527 is: 70,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712 : 46,527 = 46,527 : x
  2. Step 2: Convert to fraction form
    30,712/46,527 = 46,527/x
  3. Step 3: Cross multiply
    30,712x = 46,527 × 46,527
  4. Step 4: Simplify right side
    30,712x = 2,164,761,729
  5. Step 5: Solve for x
    x = 2,164,761,729/30,712
  6. Step 6: Final answer
    x = 70,485.86

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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.