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Finding the Third Proportional to 32,445 and 78,527.25

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Solution

The third proportional to 32,445 and 78,527.25 is: 190,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445 : 78,527.25 = 78,527.25 : x
  2. Step 2: Convert to fraction form
    32,445/78,527.25 = 78,527.25/x
  3. Step 3: Cross multiply
    32,445x = 78,527.25 × 78,527.25
  4. Step 4: Simplify right side
    32,445x = 6,166,528,992.56
  5. Step 5: Solve for x
    x = 6,166,528,992.56/32,445
  6. Step 6: Final answer
    x = 190,061.00

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.