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Finding the Third Proportional to 30,312 and 65,628

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Solution

The third proportional to 30,312 and 65,628 is: 142,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312 : 65,628 = 65,628 : x
  2. Step 2: Convert to fraction form
    30,312/65,628 = 65,628/x
  3. Step 3: Cross multiply
    30,312x = 65,628 × 65,628
  4. Step 4: Simplify right side
    30,312x = 4,307,034,384
  5. Step 5: Solve for x
    x = 4,307,034,384/30,312
  6. Step 6: Final answer
    x = 142,090.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.