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Finding the Third Proportional to 30,064 and 64,300

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Solution

The third proportional to 30,064 and 64,300 is: 137,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,064 : 64,300 = 64,300 : x
  2. Step 2: Convert to fraction form
    30,064/64,300 = 64,300/x
  3. Step 3: Cross multiply
    30,064x = 64,300 × 64,300
  4. Step 4: Simplify right side
    30,064x = 4,134,490,000
  5. Step 5: Solve for x
    x = 4,134,490,000/30,064
  6. Step 6: Final answer
    x = 137,522.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.