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Finding the Third Proportional to 38,895.19 and 53,999.16

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Solution

The third proportional to 38,895.19 and 53,999.16 is: 74,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,895.19 : 53,999.16 = 53,999.16 : x
  2. Step 2: Convert to fraction form
    38,895.19/53,999.16 = 53,999.16/x
  3. Step 3: Cross multiply
    38,895.19x = 53,999.16 × 53,999.16
  4. Step 4: Simplify right side
    38,895.19x = 2,915,908,875.71
  5. Step 5: Solve for x
    x = 2,915,908,875.71/38,895.19
  6. Step 6: Final answer
    x = 74,968.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.