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Finding the Third Proportional to 45,915 and 70,897.50

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Solution

The third proportional to 45,915 and 70,897.50 is: 109,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,915 : 70,897.50 = 70,897.50 : x
  2. Step 2: Convert to fraction form
    45,915/70,897.50 = 70,897.50/x
  3. Step 3: Cross multiply
    45,915x = 70,897.50 × 70,897.50
  4. Step 4: Simplify right side
    45,915x = 5,026,455,506.25
  5. Step 5: Solve for x
    x = 5,026,455,506.25/45,915
  6. Step 6: Final answer
    x = 109,473.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.