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Finding the Third Proportional to 30,527 and 63,392.50

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Solution

The third proportional to 30,527 and 63,392.50 is: 131,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527 : 63,392.50 = 63,392.50 : x
  2. Step 2: Convert to fraction form
    30,527/63,392.50 = 63,392.50/x
  3. Step 3: Cross multiply
    30,527x = 63,392.50 × 63,392.50
  4. Step 4: Simplify right side
    30,527x = 4,018,609,056.25
  5. Step 5: Solve for x
    x = 4,018,609,056.25/30,527
  6. Step 6: Final answer
    x = 131,641.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.