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Finding the Third Proportional to 30,117 and 44,308.50

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Solution

The third proportional to 30,117 and 44,308.50 is: 65,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117 : 44,308.50 = 44,308.50 : x
  2. Step 2: Convert to fraction form
    30,117/44,308.50 = 44,308.50/x
  3. Step 3: Cross multiply
    30,117x = 44,308.50 × 44,308.50
  4. Step 4: Simplify right side
    30,117x = 1,963,243,172.25
  5. Step 5: Solve for x
    x = 1,963,243,172.25/30,117
  6. Step 6: Final answer
    x = 65,187.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.