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Finding the Third Proportional to 30,312 and 65,447

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Solution

The third proportional to 30,312 and 65,447 is: 141,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312 : 65,447 = 65,447 : x
  2. Step 2: Convert to fraction form
    30,312/65,447 = 65,447/x
  3. Step 3: Cross multiply
    30,312x = 65,447 × 65,447
  4. Step 4: Simplify right side
    30,312x = 4,283,309,809
  5. Step 5: Solve for x
    x = 4,283,309,809/30,312
  6. Step 6: Final answer
    x = 141,307.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.