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Finding the Third Proportional to 27,160.95 and 45,152.44

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Solution

The third proportional to 27,160.95 and 45,152.44 is: 75,061.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160.95 : 45,152.44 = 45,152.44 : x
  2. Step 2: Convert to fraction form
    27,160.95/45,152.44 = 45,152.44/x
  3. Step 3: Cross multiply
    27,160.95x = 45,152.44 × 45,152.44
  4. Step 4: Simplify right side
    27,160.95x = 2,038,742,612.19
  5. Step 5: Solve for x
    x = 2,038,742,612.19/27,160.95
  6. Step 6: Final answer
    x = 75,061.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.