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Finding the Third Proportional to 29,430 and 64,470.94

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Solution

The third proportional to 29,430 and 64,470.94 is: 141,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430 : 64,470.94 = 64,470.94 : x
  2. Step 2: Convert to fraction form
    29,430/64,470.94 = 64,470.94/x
  3. Step 3: Cross multiply
    29,430x = 64,470.94 × 64,470.94
  4. Step 4: Simplify right side
    29,430x = 4,156,501,782.13
  5. Step 5: Solve for x
    x = 4,156,501,782.13/29,430
  6. Step 6: Final answer
    x = 141,233.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.