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Finding the Third Proportional to 34,506 and 53,430.75

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Solution

The third proportional to 34,506 and 53,430.75 is: 82,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506 : 53,430.75 = 53,430.75 : x
  2. Step 2: Convert to fraction form
    34,506/53,430.75 = 53,430.75/x
  3. Step 3: Cross multiply
    34,506x = 53,430.75 × 53,430.75
  4. Step 4: Simplify right side
    34,506x = 2,854,845,045.56
  5. Step 5: Solve for x
    x = 2,854,845,045.56/34,506
  6. Step 6: Final answer
    x = 82,734.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.