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Finding the Third Proportional to 34,560 and 72,808.88

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Solution

The third proportional to 34,560 and 72,808.88 is: 153,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560 : 72,808.88 = 72,808.88 : x
  2. Step 2: Convert to fraction form
    34,560/72,808.88 = 72,808.88/x
  3. Step 3: Cross multiply
    34,560x = 72,808.88 × 72,808.88
  4. Step 4: Simplify right side
    34,560x = 5,301,132,278.77
  5. Step 5: Solve for x
    x = 5,301,132,278.77/34,560
  6. Step 6: Final answer
    x = 153,389.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.