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Finding the Third Proportional to 45,924 and 70,970.25

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Solution

The third proportional to 45,924 and 70,970.25 is: 109,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,924 : 70,970.25 = 70,970.25 : x
  2. Step 2: Convert to fraction form
    45,924/70,970.25 = 70,970.25/x
  3. Step 3: Cross multiply
    45,924x = 70,970.25 × 70,970.25
  4. Step 4: Simplify right side
    45,924x = 5,036,776,385.06
  5. Step 5: Solve for x
    x = 5,036,776,385.06/45,924
  6. Step 6: Final answer
    x = 109,676.34

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